Alternating Odd/Even Number Triangle Pattern in Python

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⏱️ 8 min read

📚 Updated: Aug 2026

🎯 3 Code Examples

🚀 Live Preview

Modulo Operator

Alternating odd/even number triangle output (1, 2 4, 1 3 5, 2 4 6 8, 1 3 5 7 9) in Python programming

Overview

What You’ll Learn

The alternating odd/even number triangle switches row parity to print odd or even sequences — a natural step after left-shifted odd patterns. This tutorial covers the shape rule, loop structure, a live preview, algorithm steps, worked Python examples, edge cases, and complexity.

Shape Rule

i % 2 picks parity

Row 1 prints 1, row 2 prints 2 4, row 3 prints 1 3 5, and so on as width grows.

Outer Loop

1..rows

for i in range(1, rows + 1) makes each new row one number longer than the previous.

Inner Loop + k

k += 2 sequence

for j in range(1, i + 1) prints k, then k += 2 keeps odd or even parity on each row.

print end= vs print()

Same line / next line

Numbers use print(k, end=" "); end each row with print().

Live Preview

1–20 rows

Pick a row count and draw the alternating odd/even triangle instantly in the browser.

O(n²)

Complexity

Total prints = rows(rows+1)/2; extra memory stays O(1).

Introduction

An alternating odd/even number triangle grows each row by one number while switching between odd and even sequences using row parity. With rows = 5, the output is 1, 2 4, 1 3 5, 2 4 6 8, 1 3 5 7 9.

In Python you pick start value k with i % 2, print k in the inner loop, update k += 2, then print() ends each row.

Why it matters?

It combines parity checks with growing row width — a step up from Program 17.

Key Highlights

Row Parity

i % 2 picks odd start 1 or even start 2.

k += 2

Stays odd-only or even-only within each row.

Print Then Break

print(k, end=" ") in the inner loop; print() after.

Series Foundation

Follow Program 17; continue to Program 19 (fill-with-5 triangle).

In short: for each row i from 1 to rows, set k from i % 2, print k then k += 2 for i numbers, then call print().

Foundation

📝 Problem & Approach

Given a positive integer rows, print an alternating odd/even triangle: odd rows print odd numbers starting at 1, even rows print even numbers starting at 2, each row has i numbers with k += 2.

Python

# rows = 5 (conceptual shape)
# 1
# 2 4
# 1 3 5
# 2 4 6 8
# 1 3 5 7 9
for i in range(1, rows + 1):
    if i % 2 == 0:
        k = 2
    else:
        k = 1
    for j in range(1, i + 1):
        print(k, end=" ")
        k += 2
    print()

Inputs & Outputs

Item	Type	Description
`rows`	int	Number of triangle lines to print (typically ≥ 1).
Printed output	text	Each row has `i` spaced numbers — odd or even by row parity.

Minimal workflow

Pseudocode

for i from 1 to rows:
    if i is even: k = 2 else k = 1
    for j from 1 to i:
        print k + space
        k += 2
    print newline

Approach comparison

Approach	Idea	Best for
Parity + k += 2	1, 2 4, 1 3 5, …	Learning and interviews
Conditional start	`k = 2 if i % 2 == 0 else 1`	Compact user-input version
Flip parity	Swap odd/even row assignment	Even rows odd, odd rows even

Cheat Sheet

⚡ Quick Reference

Goal	Pattern
Walk each row	`for i in range(1, rows + 1)`
Pick start by parity	`if i % 2 == 0: k = 2 else: k = 1`
Print and step	`print(k, end=" "); k += 2`
End the row	`print()`
Conditional shortcut	`k = 2 if i % 2 == 0 else 1`
Flip parity rows	`k = 1 if i % 2 == 0 else 2`

Compare

📋 if/else vs Conditional vs Flip Parity

Same alternating triangle — different ways to set the row start value k.

i % 2

parity

Odd row → k=1, even row → k=2

k += 2

sequence

Keeps odd or even within the row

if/else expr

compact

One-line start pick in Example 2

Learning tip

reset k

Set k fresh each outer-loop iteration

Context

When This Pattern Shows Up

Reach for this pattern when teaching row parity and the k += 2 sequence inside nested loops.

First lab exercise
Natural follow-up after Program 17 — combines parity with growing row width.
Nested-loop warm-up
Outer/inner bound practice with an immediate visual check.
Console I/O practice
Combine loops with input() for a flexible row count.
Gateway to variants
Compare Program 17 (left-shifted odds) and Program 19 (fill-with-5 triangle) next.
Not a UI layout tool
This is a console teaching pattern — not how you build modern app screens.

Key benefit: one small program that locks in nested loops, output sequencing, and O(n²) thinking.

Interactive

🔮 Live Preview

Choose a row count between 1 and 20 and draw the alternating odd/even triangle in the browser.

Hands-On

Examples Gallery

Three complete Python programs — fixed row count, compact conditional expression user input, and flipped parity variant. Click View Output to reveal sample console results.

📚 Getting Started

Print five rows of the alternating odd/even triangle with i % 2 and k += 2.

Example 1 — Fixed `rows = 5`

Hard-coded height — ideal for first demos and screenshots.

Python

rows = 5

for i in range(1, rows + 1):
    if i % 2 == 0:
        k = 2
    else:
        k = 1

    for j in range(1, i + 1):
        print(k, end=" ")
        k += 2
    print()

How It Works

When i = 1 (odd), k starts at 1 and prints once. When i = 2 (even), k starts at 2 and prints 2 then 4. When i = 3, k runs 1, 3, 5 as 1 3 5, and so on as row width grows. print() after the inner loop starts the next row.

📈 User Input

Read the row count at runtime with input().

Example 2 — User Input with Conditional Expression

Read rows with input() and int() (wrap in try/except ValueError in real apps); use a compact conditional expression for k.

Python

rows = int(input("Enter the number of rows: "))

for i in range(1, rows + 1):
    k = 2 if i % 2 == 0 else 1

    for j in range(1, i + 1):
        print(k, end=" ")
        k += 2
    print()

How It Works

Same nested-loop core as Example 1; only the source of rows changes. The conditional expression 2 if i % 2 == 0 else 1 replaces the if/else block. Non-numeric input raises ValueError with bare int(input()) — use try/except for safer labs.

⚡ Flip Parity

Swap the assignment so even rows print odds and odd rows print evens.

Example 3 — Flipped Row Parity

Even rows start at 1 (odds); odd rows start at 2 (evens).

Python

rows = 5

for i in range(1, rows + 1):
    if i % 2 == 0:
        k = 1
    else:
        k = 2

    for j in range(1, i + 1):
        print(k, end=" ")
        k += 2
    print()

How It Works

Swap the if/else branches so even rows get k = 1 and odd rows get k = 2. The inner loop and k += 2 logic stay the same — only parity assignment changes.

🧠 How the Algorithm Prints Rows

Set up

print is built in; use input() when reading input. Set rows (fixed or from input).

Setup

Outer loop (row width)

for i in range(1, rows + 1) makes each row print i numbers.

Row

Parity + inner loop

Set k from i % 2, then print(k, end=" ") and k += 2 for i iterations.

Sequence

New line

print() ends the row so the next outer iteration starts fresh.

Break

Alternating triangle complete

Total prints: rows(rows+1)/2 — O(n²) time, O(1) extra memory.

Trace

🔎 Worked Walkthrough — `rows = 4`

Trace each outer-loop value of i, the starting k, and the numbers printed on each row.

`i`	Parity	Numbers printed	Row output
`1`	odd	`1`	`1`
`2`	even	`2, 4`	`2 4`
`3`	odd	`1, 3, 5`	`1 3 5`
`4`	even	`2, 4, 6, 8`	`2 4 6 8`

Total number prints: 1 + 2 + 3 + 4 = 10 = 4×5/2.

Use Cases

Where this tiny pattern (and its loop structure) shows up beyond the homework prompt.

1. Teaching Nested Loops

Clearest visual proof that outer and inner bounds interact.

Example: change j <= i and watch the shape change.

2. Pattern Series Base

Foundation for inverted, pyramid, diamond, and hollow variants.

Example: use (i + j) % 2 for row+column parity grids.

3. Console Formatting Drills

Practice print(..., end=" ") vs row newline without complex math.

Example: put print() inside the inner loop by mistake.

4. Character Substitution

Swap digits for letters, stars, or spaced output once the loop works.

Example: use print(k, end=" ") for spaced numbers on each row.

5. Complexity Intuition

Triangular totals make O(n²) concrete for beginners.

Example: count printed digits for n = 10 still → 55.

6. Input Validation Labs

Pair the pattern with try/except ValueError around int(input()) and positive-row checks.

Example: reject rows <= 0 and re-prompt.

Pro Tip: when an interviewer asks for patterns, explain the outer/inner roles first — then write the loops. The story matters as much as the code.

Advantages

Why this pattern earns a permanent spot in beginner Python courses.

1. Instant Visual Feedback
Wrong bounds show up immediately as a broken staircase.
2. Minimal Concepts
Only loops and console output — no arrays or math libraries.
3. Easy to Extend
Invert, center, hollow, or change the fill character with small edits.
4. O(1) Extra Memory
Streaming output needs no storage beyond loop counters.

Pro Tip: learn i % 2 for row parity first; compare with flipped assignment in Example 3.

Usage Tips

Small habits that keep number-pattern code clean.

1. Name Bounds Clearly
Use rows (or n) and reset k at the start of each outer-loop iteration.
2. Prefer try/except ValueError
Wrap int(input()) in try/except ValueError so bad input does not leave rows unset.
3. Keep print() Outside
Only call print() after the inner loop finishes the row.
4. Trace k on Paper
Write row i, start k, and each k += 2 step before coding.
5. Dry-Run One Small n
Trace rows = 5 on paper before coding larger demos.

Pro Tip: if the output is a vertical list of single digits per line, you almost certainly put print() inside the inner loop.

Common Pitfalls

Mistakes that commonly break alternating odd/even number patterns.

1. Newline Inside the Inner Loop
Each digit lands on its own line — you get a column, not a triangle.
→ Use print(k, end=" ") for numbers; print() only after the inner loop.
2. Forgetting to Reset k
Reusing k from the previous row mixes odd and even sequences.
→ Set k from i % 2 at the start of each outer-loop iteration.
3. Using k += 1 Instead of k += 2
k += 1 mixes odd and even numbers within the same row.
→ After each print, update with k += 2 to keep parity.
4. Forgetting the Row Break
Omitting print() glues every number onto one endless line.
→ Always end the row after the inner loop.
5. Blind int(input())
Letters or empty input raise ValueError with bare int(input()).
→ Catch ValueError and re-prompt on failure.

Edge Cases

Check these inputs before calling the solution done.

rows = 1

Single digit

Output is just 1 on one line.

rows = 0

Empty pattern

Outer loop never runs — print nothing or show a message.

Negative

`rows < 0`

Treat as invalid; re-prompt instead of silent empty output.

Large n

Many rows

Output grows as n²/2 characters — fine for labs, noisy for huge n.

Bad input

Non-numeric input

int(input()) raises ValueError — validate with try/except first.

k += 1

Wrong step on k

k += 1 mixes odd and even — use k += 2 within each row.

Stale k

Forgot to reset k

Set k fresh each row from i % 2 — do not carry over from the previous row.

Drill

🎯 Practice Problems

Try these variations to lock in the pattern.

1. Left-shifted odd triangle

Outer and inner loop += 2
Continue with Program 17

2. Fill-with-5 triangle

Ascending sequence then pad with n
Continue with Program 19

3. Flip row parity

Swap odd/even row assignment
Compare output with Example 3

4. No trailing space

Print space only between numbers, not after the last
Harder follow-up after this page

Important

Notes

Triangular sum. Total prints = rows(rows+1)/2 — O(n²) for n rows.
print(k, end=" ") stays on the line; print() advances — mix them carefully.
Validate rows > 0 for interactive programs; rows = 1 should print a single 1.
This page is left-aligned. Centered pyramids need leading spaces — covered later in the series.

Quick Takeaway: outer loop grows row width, set k from i % 2, print k then k += 2, then break the line.

Analysis

⏱️ Time and Space Complexity

Program	Time	Extra space
Nested loops (Examples 1–2)	`O(rows²)`	`O(1)`
Flip parity (Example 3)	`O(rows²)`	`O(1)`

Wrap Up

🎉 Conclusion

The alternating odd/even number triangle is a compact lesson in row parity: i % 2 picks the start value, and k += 2 keeps each row odd-only or even-only. Master the if/else version, then try the conditional-expression and flip-parity variants.

Practice the three examples above, then continue to Program 19 for the fill-with-5 number triangle.

Reset k each row from i % 2 — use k += 2 inside the inner loop and validate rows when reading input.

View Examples Gallery Continue to Program 19

Pro Tips

💡 Best Practices

✅ Do

Explain i % 2 row parity before coding
Use print(k, end=" ") and reset k each row
Validate rows ≥ 1 for interactive programs
Wrap int(input()) in try/except ValueError before using rows
State O(n²) time when asked about complexity

❌ Don’t

Call print() inside the inner digit loop
Use k += 1 instead of k += 2 within a row
Forget to reset k at the start of each row
Skip the newline after each row
Ignore bad console input in user-facing demos
Skip the rows = 1 edge case

Summary

Key Takeaways

Knowledge Unlocked

Five things to remember about this alternating pattern

Print the pattern the beginner-friendly way.

Core concepts

△ 01

Rule

i % 2 picks parity

Definition

↻ 02

Start k

1 for odd rows, 2 for even

Code

% 03

k += 2

Stays odd or even

Code

← 04

Grow width

Row i prints i nums

Shape

O 05

Complexity

O(n²) time

Analysis

❓ Frequently Asked Questions

Why do odd rows start with 1 and even rows start with 2?

We check i % 2. If i is odd, set k = 1 for odd numbers; if i is even, set k = 2 for even numbers.

Why does row 2 print 2 4?

Row 2 is even, so k starts at 2. The inner loop prints k then adds 2 twice: 2, then 4.

What is the difference between print with end= and print()?

print(k, end=" ") stays on the same line with a trailing space. print() ends the current line. Numbers use end=" "; the row break uses print() after the inner loop.

Why does row 3 print 1 3 5?

Row 3 is odd, so k starts at 1 and increments by 2 three times: 1, 3, 5.

How does the program generate the next number in a row?

After printing k, update k += 2 so the sequence stays odd or even while increasing.

Can I start odd rows from 3 instead of 1?

Yes. Change the odd-row start from 1 to 3 and keep k += 2 to stay in the odd sequence.

Can I flip which rows print odds vs evens?

Yes. Swap the condition so even rows start at 1 and odd rows start at 2 — see Example 3.

What is the time complexity?

O(n²) for n rows. Total digit prints equal n+(n-1)+…+1 = n(n+1)/2.

How should I read the row count safely?

Use a try/except ValueError around int(input()) or check the raw string with .isdigit() before converting so bad input does not crash the script.

What happens if rows is 0 or negative?

The outer loop never runs, so nothing is printed. Validate and prompt again if you want a clear user message.

Did you Know? 🔊

Row parity picks the start value: odd rows begin at 1, even rows at 2. Then k += 2 keeps each row odd-only or even-only — still O(n²) total prints for n rows.

Continue to Program 19

Move on to the fill-with-5 number triangle in the Python number-pattern series.

Program 19 tutorial →

About the author

Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

Experience 12 years building web and cloud systems
Focus Full Stack Development, AWS, and Developer Education

I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

AWS Certified Developer – Associate (Credly)

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Python Number Pattern 17 — Left-Shifted Odd Number Triangle Python Number Pattern 19 — Fill with 5 Triangle

Alternating Odd/Even Number Triangle Pattern in Python

What You’ll Learn

Shape Rule

Outer Loop

Inner Loop + k

print end= vs print()

Live Preview

O(n²)

Introduction

Why it matters?

Row Parity

k += 2

Print Then Break

Series Foundation

📝 Problem & Approach

Inputs & Outputs

Minimal workflow

Approach comparison

⚡ Quick Reference

📋 if/else vs Conditional vs Flip Parity

When This Pattern Shows Up

First lab exercise

Nested-loop warm-up

Console I/O practice

Gateway to variants

Not a UI layout tool

🔮 Live Preview

Examples Gallery

📚 Getting Started

Example 1 — Fixed rows = 5

How It Works

📈 User Input

Example 2 — User Input with Conditional Expression

How It Works

⚡ Flip Parity

Example 3 — Flipped Row Parity

How It Works

🧠 How the Algorithm Prints Rows

Set up

Outer loop (row width)

Parity + inner loop

New line

Alternating triangle complete

🔎 Worked Walkthrough — rows = 4

Use Cases

1. Teaching Nested Loops

2. Pattern Series Base

3. Console Formatting Drills

4. Character Substitution

5. Complexity Intuition

6. Input Validation Labs

Advantages

1. Instant Visual Feedback

2. Minimal Concepts

3. Easy to Extend

4. O(1) Extra Memory

Usage Tips

1. Name Bounds Clearly

2. Prefer try/except ValueError

3. Keep print() Outside

4. Trace k on Paper

5. Dry-Run One Small n

Common Pitfalls

1. Newline Inside the Inner Loop

2. Forgetting to Reset k

3. Using k += 1 Instead of k += 2

4. Forgetting the Row Break

5. Blind int(input())

Edge Cases

Single digit

Empty pattern

rows < 0

Many rows

Non-numeric input

Wrong step on k

Forgot to reset k

🎯 Practice Problems

1. Left-shifted odd triangle

2. Fill-with-5 triangle

3. Flip row parity

Example 1 — Fixed `rows = 5`

🔎 Worked Walkthrough — `rows = 4`

2. Prefer `try/except ValueError`

`rows < 0`