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Search: id:A127976
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| A127976 |
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Numbers of the form ((6n + 10)/27)2^(n - 1) + ((-1)^(n - 1))(6n + 5)/27. |
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+0
10
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| 1, 1, 5, 9, 25, 53, 125, 273, 609, 1325, 2885, 6217, 13353, 28517, 60685, 128641, 271857, 572829, 1203925, 2524345, 5281721, 11029461, 22991005, 47846129, 99420545, 206297613, 427508325, 884842793, 1829337929, 3777980485
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), May 25 2009: (Start)
Equals A001045, [1, 1, 3, 5, 11, 21, 43, 85,...] convolved with A078008,
[1, 0, 2, 2, 6, 10, 22,...] (End)
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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)=((6n + 10)/27)2^(n - 1) + ((-1)^(n - 1))(6n + 5)/27
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MATHEMATICA
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Table[((6n + 10)/27)2^(n - 1) + ((-1)^(n - 1) )(6n + 5)/27, {n, 1, 100}] (*Artur Jasinski*)
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CROSSREFS
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A001045, A078008 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), May 25 2009]
Sequence in context: A025624 A147496 A147383 this_sequence A147286 A137199 A147512
Adjacent sequences: A127973 A127974 A127975 this_sequence A127977 A127978 A127979
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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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