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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). 0
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 (list; graph; refs; listen; history; text; internal format)
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(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 A253694 A253701

Adjacent sequences:  A157825 A157826 A157827 * A157829 A157830 A157831

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified September 22 17:16 EDT 2020. Contains 337291 sequences. (Running on oeis4.)