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A139790
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(5*2^(n+2)-3*n*2^n-2*(-1)^n) / 18.
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2
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1, 2, 3, 5, 7, 9, 7, -7, -57, -199, -569, -1479, -3641, -8647, -20025, -45511, -101945, -225735, -495161, -1077703, -2330169, -5009863, -10718777, -22835655, -48467513, -102527431, -216239673, -454848967, -954437177, -1998352839, -4175662649, -8709239239
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of 1,1,0,1,-2,3,-8,13,-30,.. (see A113954 and A103196). [R. J. Mathar, Feb 11 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for sequences with recurrences with constant coefficients, signature (3,0,-4)
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FORMULA
| a(n+1)- 2*a(n) = -A001045(n).
G.f.: (1-x-3*x^2)/((1+x)*(1-2*x)^2). a(n)= 3*a(n-1) -4*a(n-3).
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PROG
| (MAGMA) [(5*2^(n+2)-3*n*2^n-2*(-1)^n) / 18: n in [0..35]]; // Vincenzo Librandi, Aug 09 2011
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CROSSREFS
| Cf. A136298, A136299.
Sequence in context: A105404 A075012 A067090 * A118784 A193889 A177922
Adjacent sequences: A139787 A139788 A139789 * A139791 A139792 A139793
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KEYWORD
| sign,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), May 21 2008
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EXTENSIONS
| Replaced definition by closed formula - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 11 2010
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