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A140962
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Negative values of the inverse binomial transform of A045883.
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2
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0, -1, -1, -3, -1, -7, 3, -19, 23, -63, 107, -235, 447, -919, 1811, -3651, 7271, -14575, 29115, -58267, 116495, -233031, 466019, -932083, 1864119, -3728287, 7456523, -14913099, 29826143, -59652343, 119304627, -238609315, 477218567, -954437199
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OFFSET
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0,4
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COMMENTS
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The inverse binomial transform of A045883 is 0,1,1,3,1,7,...
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LINKS
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FORMULA
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a(n+1) - a(n) = (-1)^(n+1)*A078008(n).
a(n+1) - a(n) = 2*(-1)^n*A001045(n-1), n > 0.
a(n) = 3*a(n-2) - 2*a(n-3).
G.f.: -x*(1+x)/((1+2*x)*(1-x)^2). - R. J. Mathar, Nov 11 2008
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MATHEMATICA
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LinearRecurrence[{0, 3, -2}, {0, -1, -1}, 50] (* Paolo Xausa, Nov 14 2023 *)
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PROG
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(Magma) [-(1/9)-(2/3)*n+(1/9)*(-2)^n: n in [0..40]]; // Vincenzo Librandi, Aug 08 2011
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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