OFFSET
1,1
LINKS
Winston de Greef, Table of n, a(n) for n = 1..448
FORMULA
E.g.f.: Sum_{k>=1} prime(k+1) * log(1 + x)^k / k!.
a(n) = Sum_{k=1..n} Stirling1(n,k) * prime(k+1).
MATHEMATICA
nmax = 22; CoefficientList[Series[Sum[Prime[k + 1] Log[1 + x]^k/k!, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest
Table[Sum[StirlingS1[n, k] Prime[k + 1], {k, 1, n}], {n, 1, 22}]
PROG
(PARI) a(n) = sum(k=1, n, stirling(n, k, 1) * prime(k+1)); \\ Michel Marcus, May 13 2022
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, May 13 2022
STATUS
approved