A032300 "EFJ" (unordered, size, labeled) transform of 1,3,5,7,...

1, 1, 3, 14, 27, 194, 1280, 4087, 17899, 177410, 1829004, 6191393, 39601452, 221669681, 3187238613, 46728961697, 184114626107, 1217996265362, 8854410188516, 68536459359829, 1305896806285888, 26706311366603507, 116616474061307483, 879466953545771963

Offset

0,3

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*k-1)*x^k/k!). - Andrew Howroyd, Sep 11 2018

Prog

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

Crossrefs

Sequence in context: A302758 A063098 A297433 * A032212 A032137 A032041

Adjacent sequences: A032297 A032298 A032299 * A032301 A032302 A032303

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended and terms a(22) and beyond from Andrew Howroyd, Sep 11 2018

Status

approved