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A032312 "EGJ" (unordered, element, labeled) transform of 2,2,2,2... 2
1, 2, 4, 14, 48, 162, 826, 3558, 17296, 101714, 529014, 3218118, 21014010, 140974654, 888205714, 6529087674, 52806013456, 375280736754, 2994842092102, 23821110274230, 217847892367318, 1894959770821614, 16188955616322394, 142246084665611010, 1376483692715941594 (list; graph; refs; listen; history; text; internal format)
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!)^2. - Andrew Howroyd, Sep 11 2018

PROG

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

CROSSREFS

Sequence in context: A006443 A152103 A102879 * A032222 A212268 A092665

Adjacent sequences:  A032309 A032310 A032311 * A032313 A032314 A032315

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

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Last modified October 21 12:36 EDT 2018. Contains 316419 sequences. (Running on oeis4.)