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A122852 Row sums of number triangle A122851. +0
3
1, 1, 2, 3, 6, 11, 24, 51, 122, 291, 756, 1979, 5526, 15627, 46496, 140451, 442194, 1414931, 4687212, 15785451, 54764846, 193129659, 698978136, 2570480147, 9672977706 (list; graph; listen)
OFFSET

0,3

COMMENT

Essentially the same as A072374. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2008

Diagonal sums of A008279. [From Paul Barry (pbarry(AT)wit.ie), Feb 11 2009]

FORMULA

a(n)=sum{k=0..n, C(k,n-k)*(n-k)!}.

Contribution from Paul Barry (pbarry(AT)wit.ie), Feb 11 2009: (Start)

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

a(n)=sum{k=0..floor(n/2), C(n-k,k)k!}. (End)

CROSSREFS

Sequence in context: A036648 A047750 A072187 this_sequence A072374 A107113 A156807

Adjacent sequences: A122849 A122850 A122851 this_sequence A122853 A122854 A122855

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 14 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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