A112463 Absolute value of coefficient of term [x^(n-7)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 7. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
7, 111, 930, 5480, 25500, 99756, 341088, 1046520, 2936070, 7638950, 18631932, 42969336, 94348300, 198354300, 401166000, 783610920, 1483311285, 2728813725, 4891144350, 8560278000, 14656684680, 24591569640, 40493836800, 65527390800, 104329399500, 163608855372
Offset: 7
Formula
a(n) = ((13*n+7)/14!) * Product_{i=-6..6} (n+i).
G.f.: x^7*(7+6*x)/(1-x)^15. - Colin Barker, Mar 28 2012
Extensions
Offset changed by Alois P. Heinz, Mar 28 2012