id:A121630 - 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)^3*(a+*a), where a+ and a are boson creation and annihilation operators, respectively.

+0
4

1, 4, 29, 302, 4089, 68056, 1342949, 30635074, 792915057, 22952573484, 734630159341, 25757268041814, 981687991859689, 40407710444419072, 1786311057929722549, 84404172618241446506, 4244839086310722228449 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=sum(abs(stirling1(n+1,p))3^(n-p+1)bell(p-1),p=1..n+1), n=0,1....` `E.g.f.: exp(((1-3x)^(-1/3))-1)/(1-3x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 13 2006`
	CROSSREFS	`Cf. A002720, A121629, A121631` `Sequence in context: A125808 A083072 A127770 this_sequence A089470 A014622 A067146` `Adjacent sequences: A121627 A121628 A121629 this_sequence A121631 A121632 A121633`
	KEYWORD	`nonn`
	AUTHOR	`Karol A. Penson (penson(AT)lptl.jussieu.fr), Aug 12 2006`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research