A032314 "EGJ" (unordered, element, labeled) transform of 3,3,3,3...

1, 3, 9, 36, 165, 768, 4212, 24573, 146949, 994608, 6824064, 49026783, 382079820, 3012960603, 24957495705, 216087717621, 1931094309909, 17705427261168, 169400058948720, 1679587464655155, 16724057142118920, 174698022293109813, 1876447876721132955

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 + x^k/k!)^3. - Andrew Howroyd, Sep 11 2018

Prog

(PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/k! + O(x*x^n))^3)))} \\ Andrew Howroyd, Sep 11 2018

Crossrefs

Sequence in context: A295739 A156016 A376420 * A144352 A107895 A343579

Adjacent sequences: A032311 A032312 A032313 * A032315 A032316 A032317

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended and terms a(20) and beyond from Andrew Howroyd, Sep 11 2018

Status

approved