Expansion of determinant of 24 X 24 matrix M_{u,v} = q^(maj(u*v^-1)) where u, v in S_4 and maj = MacMahon's major index (cf. A008302).

A323978

Expansion of determinant of 24 X 24 matrix M_{u,v} = q^(maj(u*v^-1)) where u, v in S_4 and maj = MacMahon's major index (cf. A008302).

Terms

    a(0) =1a(1) =0a(2) =-12a(3) =-16a(4) =48a(5) =192a(6) =116a(7) =-768a(8) =-1980a(9) =-496a(10) =7092a(11) =15360a(12) =2636a(13) =-48192a(14) =-97044a(15) =-22864a(16) =256002a(17) =521280a(18) =191908a(19) =-1096416a(20) =-2405376a(21) =-1290288a(22) =3823524a(23) =9570240a(24) =6907098a(25) =-10634976a(26) =-32922540a(27) =-30209648a(28) =21729096a(29) =97815552

External references