OFFSET
1,12
LINKS
Robert Price, Table of n, a(n) for n = 1..1000
FORMULA
a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(5/8) / (4 * 2^(9/16) * 3^(5/16) * Pi^(3/8) * n^(13/16)). - Vaclav Kotesovec, Aug 27 2015
MATHEMATICA
nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+4))*(1 - x^(8k+5))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)
nmax = 60; kmax = nmax/8;
s = Flatten[{Range[0, kmax]*8 + 4}~Join~{Range[0, kmax]*8 + 5}];
Table[Count[IntegerPartitions@n, x_ /; SubsetQ[s, x]], {n, 1, nmax}] (* Robert Price, Aug 04 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved