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A137470
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Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088.
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6
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1, 1, -1, 3, -1, -1, 7, -9, 7, 7, -25, 39, -25, -25, 103, -153, 103, 103, -409, 615, -409, -409, 1639, -2457, 1639, 1639, -6553, 9831, -6553, -6553, 26215, -39321, 26215, 26215, -104857, 157287, -104857, -104857, 419431
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n)=[3+(1-2i)(i-1)^n+(1+2i)(-1-i)^n]/5 where i=sqrt(-1). - R. J. Mathar, Apr 25 2008
O.g.f.: -(1+2x)/((1+2x+2x^2)(-1+x)). - R. J. Mathar, Apr 25 2008
G.f.: Q(0)*(1+2*x)/(2- 2*x), where Q(k) = 1 + 1/(1 - x*(4*k+2 +2*x)/(x*(4*k+4 +2*x) - 1/Q(k+1) )); (continued fraction). - Sergei N. Gladkovskii, Jan 01 2014
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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