A032316 "EGJ" (unordered, element, labeled) transform of 1,3,5,7...

1, 1, 3, 14, 45, 284, 1570, 9267, 70189, 496232, 4010526, 34481105, 308516868, 2926837289, 29200525341, 307118111601, 3309789462677, 37814191683984, 445615694701030, 5424871661765829, 68774736287172136, 898086216694079703, 12111344019974440847

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 + x^k/k!)^(2*k-1). - Andrew Howroyd, Sep 11 2018

Prog

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

Crossrefs

Sequence in context: A261481 A059672 A302225 * A032225 A032150 A032055

Adjacent sequences: A032313 A032314 A032315 * A032317 A032318 A032319

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended and terms a(21) and beyond from Andrew Howroyd, Sep 11 2018

Status

approved