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A144133
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Gegenbauer polynomial C_n^2(3).
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0
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1, 12, 106, 828, 6051, 42408, 288788, 1925736, 12637733, 81897876, 525360702, 3341936196, 21109664455, 132544828560, 827948567080, 5148653356944, 31891223012553, 196848686563164, 1211273655997202, 7432579805359884
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..19.
Wikipedia, Gegenbauer polynomials
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FORMULA
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G.f.: 1 / (1 - 6*x + x^2)^2. a(-4 - n) = -a(n). Convolution square of A001109. - Michael Somos, May 11 2012
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EXAMPLE
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1 + 12*x + 106*x^2 + 828*x^3 + 6051*x^4 + 42408*x^5 + ...
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MATHEMATICA
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lst={}; Do[AppendTo[lst, GegenbauerC[n, 2, 3]], {n, 0, 8^3}]; lst
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PROG
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{a(n) = local(s=1); if( n<0, n = -4 - n; s=-1); s * polcoeff( 1 / (1 - 6*x + x^2)^2 + x * O(x^n), n)} /* Michael Somos, May 11 2012 */
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CROSSREFS
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Cf. A001109.
Sequence in context: A016223 A027142 A090816 * A089396 A218111 A166755
Adjacent sequences: A144130 A144131 A144132 * A144134 A144135 A144136
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KEYWORD
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nonn
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Sep 11 2008
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STATUS
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approved
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