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).

A323979

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).

Terms

    a(0) =1a(1) =0a(2) =-60a(3) =-80a(4) =1680a(5) =4704a(6) =-25660a(7) =-128640a(8) =150420a(9) =2062160a(10) =2230548a(11) =-19194240a(12) =-63712740a(13) =57664320a(14) =724837020a(15) =1055778256a(16) =-3865916310a(17) =-17164305600a(18) =-7987686380a(19) =111558610080a(20) =309981082824a(21) =-83708879920

External references