OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
G. E. Andrews, R. P. Lewis, J. Lovejoy, Partitions with designated summands, Acta Arith. 105 (2002), no. 1, 51-66.
FORMULA
a(n) = (1/2) * A102186(3*n+2).
a(n) ~ 5^(1/4) * exp(sqrt(5*n/3)*Pi) / (2^(7/2) * 3^(5/4) * n^(3/4)). - Vaclav Kotesovec, Oct 15 2017
MATHEMATICA
nmax = 50; CoefficientList[Series[Product[(1+x^k)^3 * (1-x^(6*k)) * (1-x^(12*k)) / ((1-x^k) * (1-x^(4*k))), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 15 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 13 2017
STATUS
approved