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A178780
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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.
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2
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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
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OFFSET
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0,48
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COMMENTS
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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.
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REFERENCES
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R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.
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LINKS
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Table of n, a(n) for n=0..78.
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CROSSREFS
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Cf. A008871, A178779, A178781, A178795.
Sequence in context: A143153 A127448 A128179 * A058558 A210869 A123973
Adjacent sequences: A178777 A178778 A178779 * A178781 A178782 A178783
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KEYWORD
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sign,fini,full,easy
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AUTHOR
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N. J. A. Sloane, Dec 26 2010
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STATUS
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approved
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