OFFSET
0,2
COMMENTS
In general, Sum_{k=0..n} (m^k * p(k)) ~ m/(m-1) * m^n * p(n), for m > 1.
FORMULA
a(n) ~ 2^(n-1) * exp(Pi*sqrt(2*n/3)) / (n*sqrt(3)).
MATHEMATICA
Table[Sum[2^k*PartitionsP[k], {k, 0, n}], {n, 0, 40}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 26 2015
STATUS
approved