OFFSET
0,3
COMMENTS
Case k=10,i=10 of Gordon Theorem.
REFERENCES
G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 109.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Andrews-Gordon Identity
FORMULA
a(n) ~ exp(2*Pi*sqrt(n/7)) * cos(Pi/42) / (sqrt(3) * 7^(3/4) * n^(3/4)). - Vaclav Kotesovec, May 10 2018
MATHEMATICA
nmax = 60; CoefficientList[Series[Product[(1 - x^(21*k))*(1 - x^(21*k+10-21))*(1 - x^(21*k-10))/(1 - x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, May 10 2018 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
a(0)=1 prepended by Seiichi Manyama, May 10 2018
STATUS
approved