%I #11 Mar 08 2020 21:05:47
%S 1,0,-60,-80,1680,4704,-25660,-128640,150420,2062160,2230548,
%T -19194240,-63712740,57664320,724837020,1055778256,-3865916310,
%U -17164305600,-7987686380,111558610080,309981082824,-83708879920,-2310552888780,-4721178106560,4129349973890,39231750371520,64807106219940,-86501225014320,-580167287063160,-840576756949440,1330114847500228
%N 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 Jinyuan Wang, <a href="/A323979/b323979.txt">Table of n, a(n) for n = 0..1200</a>
%H 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 G.f.: (1-q^2)^60*(1-q^3)^80*(1-q^4)^90*(1-q^5)^96.
%Y Cf. A008302, A323977, A323978.
%K sign,fini,full
%O 0,3
%A _N. J. A. Sloane_, Feb 10 2019