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A032315
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"EGJ" (unordered, element, labeled) transform of 1,2,3,4...
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1
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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; internal format)
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OFFSET
| 1,2
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LINKS
| C. G. Bower, Transforms (2)
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FORMULA
| E.g.f.: -1 + Product_{n>=1} (1 + x^n/n!)^n. [From Paul D. Hanna (pauldhanna(AT)juno.com), Nov 29 2010]
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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 (pauldhanna(AT)juno.com), Nov 29 2010]
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CROSSREFS
| Sequence in context: A026589 A091002 A025176 * A032224 A193758 A082940
Adjacent sequences: A032312 A032313 A032314 * A032316 A032317 A032318
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
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