A178780 Expansion of the polynomial x^36*(x^12-1)*(x^9-1)*(x^8-1)*(x^6-1)*(x^5-1)*(x^2-1) in increasing powers of x.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, -1, 1, 0, -1, 1, 2, -1, 0, 3, 0, -2, 1, 1, -3, -1, 2, -1, -3, 1, 1, -2, 0, 3, 0, -1, 2, 1, -1, 0, 1, -1, -1, 0, 0, -1, 0, 1

Offset

0,48

Comments

q^36*(q^12-1)*(q^9-1)*(q^8-1)*(q^6-1)*(q^5-1)*(q^2-1) is the order of the simple group E_6(q), if q is a prime power.

References

R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.

Links

Table of n, a(n) for n=0..78.

Crossrefs

Cf. A008871, A178779, A178781, A178795.

Sequence in context: A127448 A128179 A356749 * A058558 A210869 A123973

Adjacent sequences: A178777 A178778 A178779 * A178781 A178782 A178783

Keyword

sign,fini,full,easy

Author

N. J. A. Sloane, Dec 26 2010

Status

approved