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A153643 Jacobsthal numbers A001045 incremented by 2. +0
5
2, 3, 3, 5, 7, 13, 23, 45, 87, 173, 343, 685, 1367, 2733, 5463, 10925, 21847, 43693, 87383, 174765, 349527, 699053, 1398103, 2796205, 5592407, 11184813, 22369623, 44739245, 89478487, 178956973, 357913943, 715827885, 1431655767, 2863311533, 5726623063 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = 2+A001045(n) = A001045(n)+A007395(n) = 1+A128209(n).

a(n)-A010684(n) = A078008(n), first differences of A001045. [From Paul Curtz (bpcrtz(AT)free.fr), Jan 17 2009]

G.f.: (2-x-5x^2)/((1+x)(1-x)(1-2x)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009]

CROSSREFS

Sequence in context: A017984 A035066 A035068 this_sequence A053218 A154690 A046937

Adjacent sequences: A153640 A153641 A153642 this_sequence A153644 A153645 A153646

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Dec 30 2008

EXTENSIONS

Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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