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A043553 Row sums of convolution triangle A030524. +0
3
1, 7, 43, 250, 1420, 7990, 44800, 250900, 1404700, 7864000, 44026000, 246481000, 1379950000, 7725850000, 43254430000, 242167300000, 1355815600000, 7590769900000, 42498250000000, 237933871000000, 1332114307000000 (list; graph; listen)
OFFSET

1,2

LINKS

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

FORMULA

G.f.: x*(1-3*x+3*x^2)/(1-10*x+30*x^2-30*x^3)= g1(4, x)/(1-g1(4, x)), g1(4, x) := x*(1-3*x+3*x^2)/(1-3*x)^3 (G.f. first column of A030524).

CROSSREFS

Sequence in context: A081896 A125344 A163869 this_sequence A049609 A161728 A003464

Adjacent sequences: A043550 A043551 A043552 this_sequence A043554 A043555 A043556

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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