A162314 - OEIS

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A162314

Row sums of A162313.

1, 4, 24, 208, 2400, 34624, 599424, 12107008, 279467520, 7257355264, 209403009024, 6646303019008, 230126121738240, 8632047179874304, 348695526455476224, 15091839203924574208, 696733490476660162560 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n) = 2^nA000629(n) = 2^nsum{k = 0..n} k!Stirling2(n+1,k+1).` `E.g.f.: exp(2x)/(2-exp(2x)) = 1 + 4x + 24x^2/2! + 208x^3/3! + ....`
	MAPLE	`#A162314` `with(combinat):` `a:= n -> 2^nadd(k!Stirling2(n+1, k+1), k = 0..n):` `seq(a(n), n = 0..16);`
	CROSSREFS	`A000629, A162313.` `Sequence in context: A012244 A050388 A010039 * A112141 A077555 A166881` `Adjacent sequences: A162311 A162312 A162313 * A162315 A162316 A162317`
	KEYWORD	`easy,nonn`
	AUTHOR	`Peter Bala (pbala(AT)talktalk.net), Jul 01 2009`

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.