edited by
502 views
1 votes
1 votes
How to find the coefficient ( for eg $x^7$ ) in the generating function$(1+x+x^2+x^3+..)(1+x^2+x^4+x^6+..)(1+x^5+x^{10}+x^{15}+..)$ ?
edited by

1 Answer

Best answer
0 votes
0 votes

We can solve it in the following way.

x7  will be generated in the following way

(025,160,205,340,520,700) So the coefficient will be 6.

In first series 0 - x0

In second series 2- x2

In third series 5- x

selected by

Related questions

0 votes
0 votes
0 answers
2
1 votes
1 votes
1 answer
4
Ayush Upadhyaya asked Sep 27, 2018
660 views
Find the closed form for the generating function for the sequence $\{a_n\}$ where(a)$a_n=\binom{n}{2}$ for $n=0,1,2....$(b)$a_n=\binom{10}{n+1}$ for $n=0,1,2....$