A032298 "EFJ" (unordered, size, labeled) transform of 2,1,1,1,...

1, 2, 1, 7, 9, 21, 148, 281, 997, 3037, 33036, 76275, 352586, 1466713, 6840499, 96591514, 293606525, 1501812845, 7541619580, 45272015807, 252241209910, 5166271223047, 18007882089737, 113281855815782, 613837386060838, 4188738630903441, 29051626448346113

Offset

0,2

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

C. G. Bower, Transforms (2)

Formula

E.g.f.: (1 + 2*x)*Product_{k >= 2} (1 + x^k/k!). - Andrew Howroyd, Sep 11 2018

Prog

(PARI) seq(n)={Vec(serlaplace((1 + 2*x)*prod(k=2, n, 1 + x^k/k! + O(x*x^n))))} \\ Andrew Howroyd, Sep 11 2018

Crossrefs

Sequence in context: A238223 A102817 A026252 * A032210 A032135 A032039

Adjacent sequences: A032295 A032296 A032297 * A032299 A032300 A032301

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended and terms a(24) and beyond from Andrew Howroyd, Sep 11 2018

Status

approved