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A157828
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Coefficients of polynomial expansion of Golay C_12 enumeration Polynomial: p(x)=24 + 440*x^3 + 264*x^6 + x^12; q(x)=x^12*p(1/x).
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0
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1, 0, 0, 0, 0, 0, -264, 0, 0, -440, 0, 0, 69672, 0, 0, 232320, 0, 0, -18193472, 0, 0, -91977600, 0, 0, 4699183680, 0, 0, 32281638400, 0, 0, -1199677704192, 0, 0, -10587785894400, 0, 0, 302398212602368, 0, 0, 3322258906644480, 0, 0
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OFFSET
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0,7
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LINKS
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FORMULA
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p(x)=24 + 440*x^3 + 264*x^6 + x^12;
q(x)=x^12*p(1/x);
a(n)=coefficients(1/q(x)).
G.f.: 1 / ( 1+264*x^6+440*x^9+24*x^12 ). - R. J. Mathar, May 24 2016
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MATHEMATICA
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f[x_] = 24 + 440*x^3 + 264*x^6 + x^12;
g[x] = ExpandAll[x^12*f[1/x]];
a = Table[SeriesCoefficient[ Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]
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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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