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A155866
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A 'Morgan Voyce' transform of the Bell numbers A000110.
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0
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1, 2, 6, 22, 91, 413, 2032, 10754, 60832, 365815, 2327835, 15612872, 109992442, 811500784, 6253327841, 50211976959, 419239644142, 3632891419054, 32616077413970, 302915722319509, 2906047810600157, 28761123170398258
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Image of Bell numbers under Riordan array (1/(1-x),x/(1-x)^2).
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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]
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CROSSREFS
| Sequence in context: A150272 A124293 A107591 * A150273 A001181 A130579
Adjacent sequences: A155863 A155864 A155865 * A155867 A155868 A155869
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 29 2009
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