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A025173
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The Gegenbauer Polynomial of index n, order 1, evaluated at x=1/3 and multiplied by n*3^n/2.
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1
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0, 1, -5, -42, -22, 575, 1677, -3332, -27740, -23859, 259055, 832370, -981714, -10980437, -13342175, 85437240, 319499912, -192522535, -3642631389, -5753449394, 24313788850, 108290637399, -13811840779, -1096315586380, -2152355798868, 6240751807525
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: ( x-9*x^2 ) / (1-2*x+9*x^2)^2 . - R. J. Mathar, Feb 05 2013
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MAPLE
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a:= n-> (<<0|1|0|0>, <0|0|1|0>, <0|0|0|1>, <-81|36|-22|4>>^n. <<0, 1, -5, -42>>)[1, 1]: seq(a(n), n=0..50); # Alois P. Heinz, Feb 05 2013
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MATHEMATICA
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Table[ n/2 3^n GegenbauerC[ n, 1, 1/3 ], {n, 24} ]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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