OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..573
Eric Weisstein's World of Mathematics, Stirling Transform.
FORMULA
a(n) = Sum_{k=0..n} Stirling2(n,k)*A000009(k).
MAPLE
b:= proc(n) option remember; `if`(n=0, 1, add(b(n-j)*add(
`if`(d::odd, d, 0), d=numtheory[divisors](j)), j=1..n)/n)
end:
a:= n-> add(b(j)*Stirling2(n, j), j=0..n):
seq(a(n), n=0..30); # Alois P. Heinz, Jun 17 2018
MATHEMATICA
Table[Sum[StirlingS2[n, k]*PartitionsQ[k], {k, 0, n}], {n, 0, 25}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 17 2018
STATUS
approved