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A134351
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Binomial transform of [1, 5, -1, 5, -1, 5,...]. Inverse binomial transform of A134350.
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1
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1, 6, 10, 18, 34, 66, 130, 258, 514, 1026, 2050, 4098, 8194, 16386, 32770, 65538, 131074, 262146, 524290, 1048578, 2097154, 4194306, 8388610, 16777218, 33554434, 67108866, 134217730, 268435458, 536870914, 1073741826, 2147483650
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n)=2+2^(n+1) for n>=2; a(1)=1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 24 2007
O.g.f.: (-1-3*x+6*x^2)/[(1-x)(-1+2*x)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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EXAMPLE
| a(4) = 18 = (1, 3, 3, 1) dot (1, 5, -1, 5) = (1 + 15 - 3 + 5).
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MAPLE
| 1, seq(2^(n+1)+2, n=1..25); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 24 2007
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CROSSREFS
| Cf. A134350.
Sequence in context: A032641 A169873 A079471 * A138828 A109312 A095985
Adjacent sequences: A134348 A134349 A134350 * A134352 A134353 A134354
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 21 2007
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 24 2007
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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