OFFSET
0,2
COMMENTS
The position of the maximum value asymptotically approaches k = n/3.
FORMULA
log(a(n)) ~ 2^(3/2)*Pi*n^(3/2)/9 - n*log(16*n^2/3)/3.
G.f.: Sum_{k>=0} x^k/(1 - p(k)*x). - Ilya Gutkovskiy, Oct 09 2018
MATHEMATICA
Table[Sum[PartitionsP[k]^(n-k), {k, 0, n}], {n, 0, 25}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 27 2015
STATUS
approved