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%I #11 Mar 08 2020 21:34:55
%S 1,0,-3,-4,3,12,5,-12,-18,0,18,12,-5,-12,-3,4,3,0,-1
%N Expansion of determinant of 6 X 6 matrix M_{u,v} = q^(maj(u*v^-1)) where u, v in S_3 and maj = MacMahon's major index (cf. A008302).
%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)^3*(1-q^3)^4.
%Y Cf. A008302, A323978, A323979.
%K sign,fini,full
%O 0,3
%A _N. J. A. Sloane_, Feb 10 2019