OFFSET
0,3
FORMULA
G.f.: Product_{k>=1} 1 + k^3*x^k/(1-x^k).
EXAMPLE
The partitions of 4 are 4, 3+1, 2+2, 2+1+1, 1+1+1+1. So a(4) = 64 + 27 + 8 + 8 + 1 = 108.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(prod(k=1, N, 1+k^3*x^k/(1-x^k)))
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Feb 04 2024
STATUS
approved