A157828 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).

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

Offset

0,7

Links

Table of n, a(n) for n=0..41.

Formula

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

Mathematica

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}]

Crossrefs

Sequence in context: A108823 A229480 A266036 * A065570 A345586 A345844

Adjacent sequences: A157825 A157826 A157827 * A157829 A157830 A157831

Keyword

sign

Author

Roger L. Bagula and Gary W. Adamson, Mar 07 2009

Status

approved