A346967 E.g.f.: exp( exp(x + x^2/2) - 1 ).

1, 1, 3, 11, 51, 277, 1733, 12175, 94741, 806613, 7446655, 73987135, 786304687, 8892165193, 106533442265, 1346989228595, 17913994025657, 249858226648121, 3645308254213291, 55501016954601443, 879999480695941467, 14502890818339130061, 248009589165030244029

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * A000085(k) * a(n-k).

Mathematica

nmax = 22; CoefficientList[Series[Exp[Exp[x + x^2/2] - 1], {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A000085, A346968.

Sequence in context: A326519 A127784 A112696 * A192925 A350354 A132006

Adjacent sequences: A346964 A346965 A346966 * A346968 A346969 A346970

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 09 2021

Status

approved