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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

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

Cf. A008302, A323978, A323979.

Sequence in context: A172004 A051508 A281230 * A322359 A172990 A084252

Adjacent sequences:  A323974 A323975 A323976 * A323978 A323979 A323980

KEYWORD

sign,fini,full

AUTHOR

N. J. A. Sloane, Feb 10 2019

STATUS

approved

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Last modified May 22 19:45 EDT 2022. Contains 353957 sequences. (Running on oeis4.)