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Search: id:A108983
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A108983 Inverse binomial transform of A003950. +0
1
1, 7, 41, 247, 1481, 8887, 53321, 319927, 1919561, 11517367, 69104201, 414625207, 2487751241, 14926507447, 89559044681, 537354268087, 3224125608521, 19344753651127, 116068521906761, 696411131440567, 4178466788643401 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = 5a(n-1) + 6a(n-2), a(0) = 1, a(1) = 7.

a(2n) = 6a(2n-1) - 1; a(2n+1) = 6a(2n) + 1.

O.g.f.: -(1+2x)/[(1+x)(6x-1)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

a(n)=-(1/7)*[(-1)^n-8*6^n], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 19 2008]

CROSSREFS

Sequence in context: A002315 A141813 A088165 this_sequence A115137 A036730 A080047

Adjacent sequences: A108980 A108981 A108982 this_sequence A108984 A108985 A108986

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 23 2005

EXTENSIONS

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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