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.

A323979 Expansion of determinant of 120 X 120 matrix M_{u,v} = q^(maj(u*v^-1)) where u, v in S_5 and maj = MacMahon's major index (cf. A008302).

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%I A323979 #11 Mar 08 2020 21:05:47
%S A323979 1,0,-60,-80,1680,4704,-25660,-128640,150420,2062160,2230548,
%T A323979 -19194240,-63712740,57664320,724837020,1055778256,-3865916310,
%U A323979 -17164305600,-7987686380,111558610080,309981082824,-83708879920,-2310552888780,-4721178106560,4129349973890,39231750371520,64807106219940,-86501225014320,-580167287063160,-840576756949440,1330114847500228
%N A323979 Expansion of determinant of 120 X 120 matrix M_{u,v} = q^(maj(u*v^-1)) where u, v in S_5 and maj = MacMahon's major index (cf. A008302).
%H A323979 Jinyuan Wang, <a href="/A323979/b323979.txt">Table of n, a(n) for n = 0..1200</a>
%H A323979 C. Krattenthaler, <a href="https://arxiv.org/abs/math/0503507">Advanced Determinant Calculus: A Complement</a>, Linear Algebra Appl. 411 (2005), 68-166; arXiv:math/0503507v2 [math.CO], 2005. See Theorem 56.
%F A323979 G.f.: (1-q^2)^60*(1-q^3)^80*(1-q^4)^90*(1-q^5)^96.
%Y A323979 Cf. A008302, A323977, A323978.
%K A323979 sign,fini,full
%O A323979 0,3
%A A323979 _N. J. A. Sloane_, Feb 10 2019