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

Author

Christian G. Bower

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..200
• C. G. Bower, Transforms (2)

Programs

PARI

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

Formula

E.g.f: Product_{k > 0} (1 + x^k/k!)^3. - Andrew Howroyd, Sep 11 2018

Extensions

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