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Easy Line

In the drawing below we have a part of the Pascal’s triangle, lines are numbered from zero (top).

We want to calculate the sum of the squares of the binomial coefficients on a given line with a function called easyline (or easyLine or easy-line).

Can you write a program which calculate easyline(n) where n is the line number?

The function will take n (with: n>= 0) as parameter and will return the sum of the squares of the binomial coefficients on line n.

Examples

easyline(0) => 1
easyline(1) => 2
easyline(4) => 70
easyline(50) => 100891344545564193334812497256

Reference

Note

In Javascript, Coffeescript, Typescript, C++, PHP, C, R, Nim, Fortran to get around the fact that we have no big integers the function easyLine(n) will in fact return round(log(easyline(n))) and not the easyline(n) of the other languages.

easyLine(0) => 0
easyLine(1) => 1
easyLine(4) => 70
easyLine(50) => 100891344545564193334812497256

Video tutorials

• Binomial Theorem - Why do we need it? - CBSE 11

• Pascal’s Triangle and the Binomial Theorem - CBSE 11

• Binomial Theorem - General Formula - CBSE 11

• Pascal’s triangle for binomial expansion | Algebra II | Khan Academy

Source