A261796 Expansion of Product_{k>=1} (1+x^k)/((1+x^(3*k))*(1+x^(5*k))).

1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 4, 4, 5, 6, 7, 8, 9, 9, 10, 12, 13, 14, 15, 16, 17, 20, 23, 24, 26, 28, 30, 33, 37, 40, 42, 46, 50, 55, 60, 65, 68, 72, 79, 86, 93, 101, 108, 114, 123, 134, 144, 153, 164, 174, 186, 203, 219, 233, 247, 263, 280

Offset

0,8

Links

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

Formula

a(n) ~ exp(Pi*sqrt(7*n/5)/3) * 7^(1/4) / (2*sqrt(3) * 5^(1/4) * n^(3/4)).

Mathematica

nmax=100; CoefficientList[Series[Product[(1+x^k)/((1+x^(3*k))*(1+x^(5*k))), {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A103257, A098151, A138526, A261797.

Sequence in context: A112210 A018050 A194316 * A200245 A116492 A103263

Adjacent sequences: A261793 A261794 A261795 * A261797 A261798 A261799

Keyword

nonn

Author

Vaclav Kotesovec, Sep 01 2015

Status

approved