id:A121629 - OEIS Search Results

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Finite sum involving signless Stirling numbers of the first kind and the Bell numbers. Appears in the process of normal ordering of n-th power of (a)^2*(a+*a), where a+ and a are boson creation and annihilation operators, respectively.

+0
4

1, 3, 16, 121, 1179, 14026, 196783, 3177861, 58019356, 1181098459, 26515026561, 650572403218, 17316566815441, 496889918749251, 15288155067806104, 502024850361876481, 17522822345606176083 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=sum(abs(stirling1(n+1,p))2^(n-p+1)bell(p-1),p=1..n+1), n=0,1...` `E.g.f.: exp(((1-2x)^(-1/2))-1)/(1-2x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 13 2006`
	CROSSREFS	`Cf. A002720, A121630, A121631.` `Sequence in context: A120015 A003692 A132070 this_sequence A053588 A035352 A087018` `Adjacent sequences: A121626 A121627 A121628 this_sequence A121630 A121631 A121632`
	KEYWORD	`nonn`
	AUTHOR	`Karol A. Penson (penson(AT)lptl.jussieu.fr), Aug 12 2006`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

AT&T Labs Research