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 A178781 Expansion of the polynomial (x^9-1)*(x^7-1)*(x^6-1)*(x^5-1)*(x^4-1)*(x^3-1)*(x-1) in increasing powers of x. 3
 -1, 1, 0, 1, 0, 0, 0, -1, -1, 0, -1, 0, 1, 0, 2, 0, 1, 0, 0, -1, 0, -2, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,15 COMMENTS q^63*(q^18-1)*(q^14-1)*(q^12-1)*(q^10-1)*(q^8-1)*(q^6-1)*(q^2-1) is the order of the simple group E_7(q), if q is a prime power. The x-polynomial f(x) and the q-polynomial g(q) are such that g(q) = q^63*f(q^2) - Jean-François Alcover, Aug 25 2022 REFERENCES R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169. LINKS PROG (PARI) Vecrev((x^9-1)*(x^7-1)*(x^6-1)*(x^5-1)*(x^4-1)*(x^3-1)*(x-1)) \\ Michel Marcus, Aug 25 2022 CROSSREFS Cf. A008869, A178795. Sequence in context: A281455 A284500 A281458 * A287174 A080843 A287112 Adjacent sequences: A178778 A178779 A178780 * A178782 A178783 A178784 KEYWORD sign,fini,full,easy AUTHOR N. J. A. Sloane, Dec 26 2010 STATUS approved

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Last modified January 30 15:50 EST 2023. Contains 359945 sequences. (Running on oeis4.)