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A154108 A000110 / (1,2,3,...): (convolved with (1,2,3,...) = Bell numbers. 2
1, 0, 2, 7, 27, 114, 523, 2589, 13744, 77821, 467767, 2972432, 19895813, 139824045 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This is the sequence which must be convolved with (1,2,3,...,), offset 0, to generate the Bell numbers starting (1, 2, 5, 15, 52,...) offset 1;

equivalent to row sums of triangle A154109 = (1, 2, 5, 15, 52,...).

A variant of A011965. [From R. J. Mathar, Jan 07 2009]

LINKS

Table of n, a(n) for n=1..14.

FORMULA

A000110 / (1,2,3,...); where A000110 (the Bell numbers) begin with offset 1:

(1, 2, 5, 15, 52, 203, 877,...).

G.f.: (A000110(x)-1)*(x-1)^2, where A0000110(x) is the g.f. of the Bell numbers. - R. J. Mathar, Nov 27 2018

EXAMPLE

A000110(5) = 52 =(1, 0, 2, 7, 27 convolved with (1, 2, 3, 4, 5) = (5 + 0 + 6 + 14 + 27).

CROSSREFS

A000110, A154109

Sequence in context: A106225 A127897 A180473 * A011965 A150629 A150630

Adjacent sequences:  A154105 A154106 A154107 * A154109 A154110 A154111

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Jan 04 2009

STATUS

approved

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Last modified January 20 16:46 EST 2019. Contains 319335 sequences. (Running on oeis4.)