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A178779
Expansion of the polynomial x^12*(x^6-1)*(x^4-1)*(x^3-1)*(x-1) in increasing powers of x.
3
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1, -1, 2, -1, 1, 0, -1, 0, -1, 1
OFFSET
0,20
COMMENTS
q^24*(q^12-1)*(q^8-1)*(q^6-1)*(q^2-1) is the order of the simple group F_4(q), if q is a prime power.
The x-polynomial f(x) and the q-polynomial g(q) are such that g(q) = f(q^2) - Jean-François Alcover, Aug 25 2022
REFERENCES
R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.
PROG
(PARI) Vecrev(x^12*(x^6-1)*(x^4-1)*(x^3-1)*(x-1)) \\ Michel Marcus, Aug 25 2022
CROSSREFS
Sequence in context: A276004 A133300 A337101 * A144451 A259287 A342592
KEYWORD
sign,fini,full,easy
AUTHOR
N. J. A. Sloane, Dec 26 2010
STATUS
approved