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A133474 Inverse binomial transform of (A113405 preceded by 0). +0
3
0, 0, 0, 1, 6, 24, 81, 252, 756, 2241, 6642, 19764, 59049, 176904, 530712, 1592865, 4780782, 14346720, 43046721, 129146724, 387440172, 1162300833, 3486843450, 10460412252, 31381059609, 94143001680, 282429005040, 847287546561 (list; graph; listen)
OFFSET

0,5

FORMULA

b(n)=a(n) with one 0; c(n)=1, 3, 6, 9, 9, 0, -27, ... = A057083; b(n+1)=3b(n)+c(n)?

O.g.f.: -x^3/[(3x-1)(3x^2-3x+1)]. a(n)=6*a(n-1)-12*a(n-2)+9*a(n-3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

CROSSREFS

Cf. A131571, A047790.

Sequence in context: A001788 A068711 A047790 this_sequence A052150 A118043 A166060

Adjacent sequences: A133471 A133472 A133473 this_sequence A133475 A133476 A133477

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Nov 29 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

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


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