Pascal's triangle

Pascal's triangle is a beautiful part of the mathematics with many exciting patterns and properties.

One of the mesmerizing properties is the following:

The value of a row, if each entry is considered a decimal place (and numbers larger than 9 carried over accordingly), is a power of 11 (11ⁿ, for row n).

Let us examine and visualize this.

We configure the number of rows, n (counting from row 0).
We display the corresponding triangle.
Below the triangle, we sum up the entries from the last row in the triangle.
Finally, we calculate 11ⁿ and compare that value to the last row in the triangle and more importantly to the sum of the entries from the last row.

Playground

Define number of rows (n)

Resulting triangle with {{n}} rows

{{cell}}

Summing the entries from the last row

{{summation}}

11 to the power of `n`

11^{{n}} = {{raisedToThePower}}

Implemented with the help of Vue {{vueVersion}}.