A351991 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..24.

PROG

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

CROSSREFS

Cf. A005651, A319112, A334370.

Sequence in context: A012663 A180929 A212592 * A318858 A136980 A083834

Adjacent sequences: A351988 A351989 A351990 * A351992 A351993 A351994

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 27 2022

STATUS

approved