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Pascal's triangle generator

World's simplest number tool

Quickly draw Pascal's triangle in your browser. To get your triangle, just specify how many rows of the triangle you need in the options below, and this utility will generate a triangle of binomial coefficients with that many rows. Created by developers from team Browserling.
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Starting Row Number and Count
Draw Pascal's triangle from this row number.
Calculate this many rows of Pascal's triangle.
Pascal's Triangle Appearance
Align all binomial coefficients to the center.
Draw Pascal's triangle from top to bottom.
Pascal's triangle generator tool What is a pascal's triangle generator?
This is an online browser-based utility for calculating and visualizing Pascal's triangle. Pascal's triangle is an infinite numerical triangle of numbers. It's constructed iteratively – the top element is a single one. The next two elements are another two ones. Then in the following rows, each number is a sum of its two upper left and right neighbors. It turns out that a triangle constructed this way has binomial coefficients as its elements. These numbers are invaluable in combinatorics, probability theory, and other mathematical fields. In this tool, you can construct Pascal's triangles of any size and specify which row to start from. By default, the tool creates a left-aligned Pascal's triangle. You can also make it centered and even turn it upside down. That's numberwang!
Pascal's triangle generator examples Click to use
Left-aligned Pascal's Triangle
In this example, we draw the first 8 rows of Pascal's triangle and align them to the left.
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
Required options
These options will be used automatically if you select this example.
Draw Pascal's triangle from this row number.
Calculate this many rows of Pascal's triangle.
Align all binomial coefficients to the center.
Draw Pascal's triangle from top to bottom.
Centered Pascal's Triangle
In this example, we calculate 7 rows of Pascal's triangle and we center the results. The top of the triangle is truncated as we start from the 4th row, which already contains four binomial coefficients.
1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1
Required options
These options will be used automatically if you select this example.
Draw Pascal's triangle from this row number.
Calculate this many rows of Pascal's triangle.
Align all binomial coefficients to the center.
Draw Pascal's triangle from top to bottom.
Upside-down Pascal's Triangle
In this example, we compute the first 10 rows of an inverted Pascal's triangle. The first row contains ten coefficients and each next row has one less. At the bottom, we have a single one.
1 9 36 84 126 126 84 36 9 1 1 8 28 56 70 56 28 8 1 1 7 21 35 35 21 7 1 1 6 15 20 15 6 1 1 5 10 10 5 1 1 4 6 4 1 1 3 3 1 1 2 1 1 1 1
Required options
These options will be used automatically if you select this example.
Draw Pascal's triangle from this row number.
Calculate this many rows of Pascal's triangle.
Align all binomial coefficients to the center.
Draw Pascal's triangle from top to bottom.
Pro tips Master online number tools
You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!
https://onlinenumbertools.com/draw-pascal-triangle?&start=1&count=8&prettify-triangle=false&upside-down=false
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