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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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%I #6 Dec 26 2023 12:29:03

%S 1,0,0,0,0,0,-264,0,0,-440,0,0,69672,0,0,232320,0,0,-18193472,0,0,

%T -91977600,0,0,4699183680,0,0,32281638400,0,0,-1199677704192,0,0,

%U -10587785894400,0,0,302398212602368,0,0,3322258906644480,0,0

%N 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).

%F p(x)=24 + 440*x^3 + 264*x^6 + x^12;

%F q(x)=x^12*p(1/x);

%F a(n)=coefficients(1/q(x)).

%F G.f.: 1 / ( 1+264*x^6+440*x^9+24*x^12 ). - _R. J. Mathar_, May 24 2016

%t f[x_] = 24 + 440*x^3 + 264*x^6 + x^12;

%t g[x] = ExpandAll[x^12*f[1/x]];

%t a = Table[SeriesCoefficient[ Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]

%K sign

%O 0,7

%A _Roger L. Bagula_ and _Gary W. Adamson_, Mar 07 2009