OFFSET
0,3
COMMENTS
Case k=7,i=7 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
FORMULA
a(n) ~ exp(2*Pi*sqrt(2*n/15)) * 2^(1/4) * cos(Pi/30) / (15^(3/4) * n^(3/4)). - Vaclav Kotesovec, May 10 2018
MATHEMATICA
With[ {n=30}, Series[ 1/Product[ (1 - Switch[ Mod[ k, 15 ], 0, 0, 7, 0, 8, 0, _, x^k ]), {k, 1, n} ], {x, 0, n} ] ]
nmax = 60; CoefficientList[Series[Product[(1 - x^(15*k))*(1 - x^(15*k+ 7-15))*(1 - x^(15*k- 7))/(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 08 2018
STATUS
approved