OFFSET
0,3
FORMULA
a(n) ~ 3^(1/4) * n^(3/4) * exp(sqrt(n/3)*Pi) / (2*Pi).
G.f.: x*f'(x)/(1 - x), where f(x) = Product_{k>=1} (1 + x^k). - Ilya Gutkovskiy, Apr 13 2017
MATHEMATICA
Table[Sum[PartitionsQ[k]*k, {k, 0, n}], {n, 0, 50}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Mar 12 2016
STATUS
approved