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A307770
Expansion of e.g.f. 1/(1 - Sum_{k>=1} prime(k)*x^k/k!).
2
1, 2, 11, 89, 957, 12871, 207717, 3910931, 84155053, 2037195551, 54795228241, 1621233039941, 52328310410427, 1829742961027269, 68901415049874055, 2779901582389463177, 119635322278784511015, 5470390958849723994819, 264850557367286330886261, 13535194864326763053170325
OFFSET
0,2
LINKS
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
binomial(n, j)*ithprime(j)*a(n-j), j=1..n))
end:
seq(a(n), n=0..20); # Alois P. Heinz, Jun 24 2021
MATHEMATICA
nmax = 19; CoefficientList[Series[1/(1 - Sum[Prime[k] x^k/k!, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 27 2019
STATUS
approved