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A155866 A 'Morgan Voyce' transform of the Bell numbers A000110. +0
1
1, 2, 6, 22, 91, 413, 2032, 10754, 60832, 365815, 2327835, 15612872, 109992442, 811500784, 6253327841, 50211976959, 419239644142, 3632891419054, 32616077413970, 302915722319509, 2906047810600157, 28761123170398258 (list; graph; listen)
OFFSET

0,2

COMMENT

Image of Bell numbers under Riordan array (1/(1-x),x/(1-x)^2).

FORMULA

G.f.: 1/(1-x-x/(1-x-x/(1-x-x/(1-x-2x/(1-x-x/(1-x-3x/(1-x-x/(1-x-4x/(1-.... (continued fraction);

a(n)=sum{k=0..n, C(n+k,2k)*A000110(k)}.

a(n)=sum{k=0..n, A085478(n,k)*A000110(k)}. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 31 2009]

CROSSREFS

Sequence in context: A150272 A124293 A107591 this_sequence A150273 A001181 A130579

Adjacent sequences: A155863 A155864 A155865 this_sequence A155867 A155868 A155869

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 29 2009

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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