A032315 - OEIS

This site is supported by donations to The OEIS Foundation.

A032315

"EGJ" (unordered, element, labeled) transform of 1,2,3,4...

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	`Table of n, a(n) for n=1..20.` `C. G. Bower, Transforms (2)`
	FORMULA	`E.g.f.: -1 + Product_{n>=1} (1 + x^n/n!)^n. [From Paul D. Hanna, Nov 29 2010]`
	PROG	`(PARI) {a(n)=n!polcoeff(-1+prod(k=1, n, (1+x^k/k!+xO(x^n))^k), n)} [From Paul D. Hanna, Nov 29 2010]`
	CROSSREFS	`Sequence in context: A026589 A091002 A025176 * A032224 A193758 A082940` `Adjacent sequences: A032312 A032313 A032314 * A032316 A032317 A032318`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified May 18 21:01 EDT 2013. Contains 225428 sequences.