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A055895 Inverse Moebius transform of powers of 2. +0
4
1, 2, 6, 10, 22, 34, 78, 130, 278, 522, 1062, 2050, 4190, 8194, 16518, 32810, 65814, 131074, 262734, 524290, 1049654, 2097290, 4196358, 8388610, 16781662, 33554466, 67117062, 134218250, 268451990, 536870914, 1073775726 (list; graph; listen)
OFFSET

0,2

LINKS

N. J. A. Sloane, Transforms

FORMULA

G.f.: sum(k>=1, 1/(1-2*x^k)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003

G.f.: sum(k>=1, 2^k*x^k/(1-x^k)). - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003

PROGRAM

(PARI) a(n)=if(n<1, 0, polcoeff(sum(k=1, n, 1/(1-2*x^k), x*O(x^n)), n))

CROSSREFS

Cf. A055894.

Sequence in context: A055745 A001172 A167512 this_sequence A125527 A049750 A134016

Adjacent sequences: A055892 A055893 A055894 this_sequence A055896 A055897 A055898

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jun 09 2000

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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