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A127982
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Numbers of the form (n - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12.
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3
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1, 6, 20, 57, 147, 360, 850, 1959, 4433, 9894, 21840, 47781, 103759, 223908, 480590, 1026723, 2184525, 4631202, 9786700, 20621985, 43341131, 90876576, 190141770, 397060767, 827675977, 1722460830, 3579139400, 7426714269, 15390299463
(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 - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12
G.f.: -x*(3*x^2-x-1)/((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 - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12, {n, 1, 50}] (*Artur Jasinski*)
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CROSSREFS
| Cf. A073371, A127976, A127978, A127979, A127980, A073371, A000337.
Sequence in context: A048778 A048611 A200528 * A109164 A027984 A018808
Adjacent sequences: A127979 A127980 A127981 * A127983 A127984 A127985
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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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