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

1,3

COMMENT

Convolved with (1,2,3,...) = Bell numbers starting (1, 2, 5, 15, 52,...);

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

Apparently a variant of A011965. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2009]

FORMULA

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

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

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: A150628 A106225 A127897 this_sequence A011965 A150629 A150630

Adjacent sequences: A154105 A154106 A154107 this_sequence A154109 A154110 A154111

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 04 2009

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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