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Search: id:A154890
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A154890 Jacobsthal numbers A001045 alternatingly incremented by 3 and 5. +0
3
3, 6, 4, 8, 8, 16, 24, 48, 88, 176, 344, 688, 1368, 2736, 5464, 10928, 21848, 43696, 87384, 174768, 349528, 699056, 1398104, 2796208, 5592408, 11184816, 22369624, 44739248, 89478488, 178956976, 357913944, 715827888, 1431655768, 2863311536, 5726623064 (list; graph; listen)
OFFSET

0,1

FORMULA

a(2n+1) = 2*a(2n).

a(n) = A153643(n)+A010684(n).

a(n+2) = 4*A128209(n).

a(n) = 2*a(n-1)+a(n-2)-2*a(n-3). G.f.: (3-11x^2)/((1-x)(1+x)(1-2x)). [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009]

CROSSREFS

Sequence in context: A093064 A136612 A004546 this_sequence A100000 A083682 A021278

Adjacent sequences: A154887 A154888 A154889 this_sequence A154891 A154892 A154893

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jan 17 2009

EXTENSIONS

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

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


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