OFFSET
0,4
LINKS
FORMULA
G.f.: Product_{k>=1} 1/(1 - x^k)^A000065(k).
MAPLE
with(combinat): with(numtheory):
a:= proc(n) option remember; `if`(n=0, 1, add(add(d*
numbpart(d)-d, d=divisors(j))*a(n-j), j=1..n)/n)
end:
seq(a(n), n=0..40); # Alois P. Heinz, May 22 2018
MATHEMATICA
nmax = 38; CoefficientList[Series[Product[1/(1 - x^k)^(PartitionsP[k] - 1), {k, 1, nmax}], {x, 0, nmax}], x]
a[n_] := a[n] = If[n == 0, 1, Sum[Sum[d (PartitionsP[d] - 1), {d, Divisors[k]}] a[n - k], {k, 1, n}]/n]; Table[a[n], {n, 0, 38}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 22 2018
STATUS
approved