A261797 Expansion of Product_{k>=1} (1-x^(3*k))*(1-x^(5*k))/(1-x^k).

1, 1, 2, 2, 4, 4, 6, 7, 11, 12, 16, 19, 25, 29, 37, 43, 55, 63, 78, 90, 110, 127, 153, 176, 211, 242, 286, 328, 386, 441, 515, 586, 682, 775, 895, 1016, 1169, 1323, 1514, 1711, 1953, 2201, 2502, 2815, 3191, 3582, 4048, 4536, 5113, 5719, 6429, 7179, 8052

Offset: 0

Author

Vaclav Kotesovec, Sep 01 2015

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A103257, A098151, A138526, A261796.

Programs

Mathematica

nmax=80; CoefficientList[Series[Product[(1-x^(3*k))*(1-x^(5*k))/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]

Formula

a(n) ~ exp(Pi*sqrt(14*n/5)/3) / sqrt(30*n).