A351991 Expansion of e.g.f. Product_{k>=1} 1/(1 - x^prime(k) / prime(k)!).

1, 0, 1, 1, 6, 11, 110, 232, 3136, 10032, 141492, 561001, 9708864, 43864471, 886873780, 4775054571, 106484438048, 651701988633, 16430255716392, 111498817293652, 3124376125290804, 23598473924038152, 721819990948712614, 5975067276022072669, 199594173117826648968

Offset: 0

Author

Seiichi Manyama, Feb 27 2022

Keywords

• nonn

Crossrefs

Cf. A005651, A319112, A334370.

Programs

PARI

my(N=40, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, 1-isprime(k)*x^k/k!)))