id:A121631 - 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)^4*(a+*a), where a+ and a are boson creation and annihilation operators, respectively.

+0
4

1, 5, 46, 613, 10679, 229576, 5868715, 173833661, 5853205468, 220767370219, 9219128625851, 422221005543250, 21041188313139901, 1133454896301865073, 65627299232007207934, 4064319309355535125201, 268077821490093243979235 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=sum(abs(stirling1(n+1,p))4^(n-p+1)bell(p-1),p=1..n+1), n=0,1....` `E.g.f.: exp(((1-4x)^(-1/4))-1)/(1-4x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 13 2006`
	CROSSREFS	`Cf. A002720, A121629, A121630.` `Sequence in context: A127304 A112029 A058478 this_sequence A071214 A052873 A052894` `Adjacent sequences: A121628 A121629 A121630 this_sequence A121632 A121633 A121634`
	KEYWORD	`nonn`
	AUTHOR	`Karol A. Penson (penson(AT)lptl.jussieu.fr), Aug 12 2006`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research