A032297 "EFJ" (unordered, size, labeled) transform of 2,2,2,2,...

1, 2, 2, 14, 18, 62, 566, 1094, 3954, 17150, 242982, 573014, 2717094, 11553622, 74420950, 1427746334, 4237820914, 22743623742, 116389345094, 709019767190, 5556385327158, 152916116876390, 524244823214950, 3357960498345390, 18667422415920486, 129591208469013462

Offset

0,2

Links

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

C. G. Bower, Transforms (2)

Formula

E.g.f.: Product_{k > 0} (1 + 2*x^k/k!). - Andrew Howroyd, Sep 11 2018

Prog

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

Crossrefs

Sequence in context: A045685 A045676 A098288 * A032209 A032134 A032038

Adjacent sequences: A032294 A032295 A032296 * A032298 A032299 A032300

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended and terms a(23) and beyond from Andrew Howroyd, Sep 11 2018

Status

approved