OFFSET
1,11
LINKS
Robert Price, Table of n, a(n) for n = 1..1000
FORMULA
a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(3/8) / (4 * 2^(15/16) * 3^(3/16) * Pi^(5/8) * n^(11/16)). - Vaclav Kotesovec, Aug 26 2015
MATHEMATICA
nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+3))*(1 - x^(8k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)
nmax = 60; kmax = nmax/8;
s = Flatten[{Range[0, kmax]*8 + 3}~Join~{Range[0, kmax]*8 + 4}];
Table[Count[IntegerPartitions@n, x_ /; SubsetQ[s, x]], {n, 1, nmax}] (* Robert Price, Aug 04 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved