Tool Categories

Pascal's Triangle Generator

Generate Pascal's Triangle, highlight divisible terms to find fractals, and compute binomial coefficient values.

Pascal's Triangle Generator

Triangle Configuration
Customize Pascal's Triangle
1 - 25
Scales all values
Result
10
Total Values
55
Row 9 Sum
512
Triangle Visualization
Pascal's Triangle output
1
11
121
1331
14641
15101051
1615201561
172135352171
18285670562881
193684126126843691
Patterns & Properties

Sierpinski Fractal: Select "Odd" highlight to reveal the Sierpinski Triangle pattern.

Fibonacci Connection: Summing shallow diagonals yields the Fibonacci sequence.

Powers of 2: Row n sums to S × 2ⁿ.

Each number is the sum of the two numbers directly above it. Each row lists binomial coefficients for (x + y)ⁿ expansion.