A346791 E.g.f.: 1 / (1 + x + Sum_{k>=2} prime(k-1) * x^k / k!).

1, -1, 0, 3, -5, -17, 103, 57, -2707, 6785, 84135, -659369, -2129683, 55537445, -103722105, -4630217025, 37357780827, 334163569535, -7214177094045, -2126819153101, 1233139349668817, -8794491537166765, -184459444459530193, 3483053621920936363, 15570880115951580635

Offset

0,4

Links

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

Formula

a(0) = 1; a(n) = -Sum_{k=1..n} binomial(n,k) * A008578(k) * a(n-k).

Mathematica

nmax = 24; CoefficientList[Series[1/(1 + x + Sum[Prime[k - 1] x^k/k!, {k, 2, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A000040, A008578, A030018, A300632, A300662, A302194, A346430.

Sequence in context: A114161 A361180 A302199 * A174722 A176131 A087858

Adjacent sequences: A346788 A346789 A346790 * A346792 A346793 A346794

Keyword

sign

Author

Ilya Gutkovskiy, Aug 04 2021

Status

approved