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Search: id:A127984
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| A127984 |
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Numbers of the form (n/3 + 7/9)2^(n - 1) + (-1)^n/9. |
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+0
2
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| 1, 3, 7, 17, 39, 89, 199, 441, 967, 2105, 4551, 9785, 20935, 44601, 94663, 200249, 422343, 888377, 1864135, 3903033, 8155591, 17010233, 35418567, 73633337, 152859079, 316902969, 656175559, 1357090361, 2803659207, 5786275385
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Bosma, W., 2001. Signed bits and fast exponentiation. J. Th. des Nombres de Bordeaux Vol.13, Fasc. 1
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LINKS
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Bosma, W., Signed bits and fast exponentiation.
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FORMULA
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a(n) = (n/3 + 7/9)2^(n - 1) + (-1)^n/9
O.g.f.: -x*(-1+2x^2)/[(-1+2x)^2*(1+x)]. a(n)=3*a(n-1)-4*a(n-3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 04 2008
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MATHEMATICA
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Table[(n/3 + 7/9)2^(n - 1) + (-1)^n/9, {n, 1, 50}] (*Artur Jasinski*)
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CROSSREFS
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Cf. A073371, A127976, A127978, A127979, A127980, A127981, A127982, A127983, A073371, A000337.
Sequence in context: A141199 A003478 A119587 this_sequence A077927 A005197 A106472
Adjacent sequences: A127981 A127982 A127983 this_sequence A127985 A127986 A127987
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Feb 09 2007
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