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A155866 A 'Morgan Voyce' transform of the Bell numbers A000110. 0
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; text; internal format)
OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..21.

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). - Philippe Deléham, Jan 31 2009

CROSSREFS

Sequence in context: A124293 A107591 A279569 * A150273 A303923 A264868

Adjacent sequences:  A155863 A155864 A155865 * A155867 A155868 A155869

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jan 29 2009

STATUS

approved

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Last modified April 5 03:58 EDT 2020. Contains 333238 sequences. (Running on oeis4.)