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A127983
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Numbers of the form (n - 2/3)2^(n) - n/2 + 3/4 - (-1)^n/12.
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2
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1, 5, 18, 52, 137, 339, 808, 1874, 4263, 9553, 21158, 46416, 101029, 218447, 469668, 1004878, 2140835, 4543821, 9611938, 20272460, 42642081, 89478475, 187345568, 391468362, 816491167, 1700091209, 3534400158, 7337235784, 15211342493
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Bosma W. 2001. Signed bits and fast exponentiation. J. Th. des Nombres de Bordeaux Vol.13, Fasc. 1
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LINKS
| Bosma W. Signed bits and fast exponentiation.
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FORMULA
| a(n) = (n - 2/3)2^(n) - n/2 + 3/4 - (-1)^n/12
G.f.: x*(1-2*x^3)/(1+x)/((2*x-1)^2*(x-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009]
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MATHEMATICA
| Table[(n - 2/3)2^(n) - n/2 + 3/4 - (-1)^n/12, {n, 1, 50}] (*Artur Jasinski*)
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CROSSREFS
| Cf. A073371, A127976, A127978, A127979, A127980, A127981, A127982, A073371, A000337.
Sequence in context: A036893 A125641 A006479 * A056782 A178684 A081492
Adjacent sequences: A127980 A127981 A127982 * A127984 A127985 A127986
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Feb 09 2007
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EXTENSIONS
| G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
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