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A323977
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).
2
1, 0, -3, -4, 3, 12, 5, -12, -18, 0, 18, 12, -5, -12, -3, 4, 3, 0, -1
OFFSET
0,3
LINKS
C. Krattenthaler, Advanced Determinant Calculus: A Complement, Linear Algebra Appl. 411 (2005), 68-166; arXiv:math/0503507v2 [math.CO], 2005. See Theorem 56.
FORMULA
G.f.: (1-q^2)^3*(1-q^3)^4.
CROSSREFS
KEYWORD
sign,fini,full
AUTHOR
N. J. A. Sloane, Feb 10 2019
STATUS
approved