OFFSET
1,14
LINKS
Robert Price, Table of n, a(n) for n = 1..1000
FORMULA
If n is even, a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(3/4) / (6^(5/8) * Pi^(1/4) * n^(9/8)). - Vaclav Kotesovec, Aug 26 2015
MATHEMATICA
nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+8))*(1 - x^(8k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)
nmax = 50; kmax = nmax/8;
s = Flatten[{Range[0, kmax]*8}~Join~{Range[0, kmax]*8 + 6}];
Table[Count[IntegerPartitions@n, x_ /; SubsetQ[s, x]], {n, 1, nmax}] (* Robert Price, Aug 03 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved