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A032315 "EGJ" (unordered, element, labeled) transform of 1,2,3,4... 4
1, 2, 9, 22, 115, 576, 2569, 16780, 100041, 660220, 4683811, 36128544, 279022627, 2268178290, 20870481675, 183829795216, 1733470364065, 17049910933404, 176955696148171, 1863799931450200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..400

C. G. Bower, Transforms (2)

FORMULA

E.g.f.: -1 + Product_{n>=1} (1 + x^n/n!)^n. - Paul D. Hanna, Nov 29 2010

PROG

(PARI) {a(n)=n!*polcoeff(-1+prod(k=1, n, (1+x^k/k!+x*O(x^n))^k), n)} [From Paul D. Hanna, Nov 29 2010]

CROSSREFS

Sequence in context: A026589 A091002 A025176 * A032224 A254710 A193758

Adjacent sequences:  A032312 A032313 A032314 * A032316 A032317 A032318

KEYWORD

nonn

AUTHOR

Christian G. Bower

STATUS

approved

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Last modified February 22 07:43 EST 2018. Contains 299447 sequences. (Running on oeis4.)