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Search: id:A137470
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A137470 Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088. +0
1
1, 1, -1, 3, -1, -1, 7, -9, 7, 7, -25, 39, -25, -25, 103, -153, 103, 103, -409, 615, -409, -409, 1639, -2457, 1639, 1639, -6553, 9831, -6553, -6553, 26215, -39321, 26215, 26215, -104857, 157287, -104857, -104857, 419431 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n)=[3+(1-2I)(I-1)^n+(1+2I)(-1-I)^n]/5 where I=sqrt(-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008

O.g.f.: -(1+2x)/((1+2x+2x^2)(-1+x)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008

a(n+1)-a(n)=A090132(n+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008

CROSSREFS

Adjacent sequences: A137467 A137468 A137469 this_sequence A137471 A137472 A137473

Sequence in context: A057004 A059328 A075440 this_sequence A112492 A049290 A134567

KEYWORD

sign

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Apr 20 2008

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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