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How to find the coefficient

What will be the coefficient of \(x^{113}\) in

\((x^{9}+x^{8}+x^{7}+x^{6}+2 x^{5}+2 x^{4}+2 x^{3}+2 x^{2}+2x+3)^{17}\)?

Please explain, how the answer was obtained.

Note by Ashu Dablo
2 years, 12 months ago

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@Calvin Lin @Sreejato Bhattacharya @Krishna Ar @Michael Mendrin @Michael Tang @Aditya Raut @Sharky Kesa @Finn Hulse @Josh Speckman @Jon Haussmann @Joel Tan @josh silverman

Sorry if anyone feels offended, but I need a way to know this.

Even a wiki article which might help to solve this will help.

Ashu Dablo - 2 years, 12 months ago

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I think this note could help you friend.... Polynomial Expansions

There's a last point in it which i forgot to write, I'll write it soon :P

Aditya Raut - 2 years, 11 months ago

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Have you studied generating functions?

Finn Hulse - 2 years, 12 months ago

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just a little.

Ashu Dablo - 2 years, 12 months ago

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@Ashu Dablo I think you should do some research on partition integers and generating functions, and then look back at the problem.

Finn Hulse - 2 years, 12 months ago

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@Finn Hulse hey finn- could you suggest some useful sources for me to learn about them??

Ashu Dablo - 2 years, 12 months ago

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@Ashu Dablo I'm taking a class called Combinatorial Mathematics.

https://www.edx.org/course/tsinghuax/tsinghuax-60240013x-combinatorial-3771#.VE6id4e0a-I

Finn Hulse - 2 years, 12 months ago

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