cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A178779 Expansion of the polynomial x^12*(x^6-1)*(x^4-1)*(x^3-1)*(x-1) in increasing powers of x.

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%I A178779 #17 Aug 28 2022 08:24:06
%S A178779 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
%N A178779 Expansion of the polynomial x^12*(x^6-1)*(x^4-1)*(x^3-1)*(x-1) in increasing powers of x.
%C A178779 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.
%C A178779 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
%D A178779 R. L. Griess, Jr., Twelve Sporadic Groups, Springer, 1998; see p. 169.
%o A178779 (PARI) Vecrev(x^12*(x^6-1)*(x^4-1)*(x^3-1)*(x-1)) \\ _Michel Marcus_, Aug 25 2022
%Y A178779 Cf. A008913, A178795.
%K A178779 sign,fini,full,easy
%O A178779 0,20
%A A178779 _N. J. A. Sloane_, Dec 26 2010