A358739 Triangular array read by rows. T(n,k) is the number of n X n matrices A over F_2 such that Sum_{phi} nullity(phi(A)) = k where the sum is over all monic irreducible polynomials in F_2[x] that divide the characteristic polynomial of A, n >= 1, 1 <= k <= n.
2, 6, 10, 84, 210, 218, 5040, 19740, 15330, 25426, 1249920, 5780880, 6939660, 7604610, 11979362, 1259919360, 7533267840, 9297061200, 12276675180, 14280964866, 24071588290, 5120312279040, 34082078607360, 48312946523520, 78970351980240, 88215877158444, 112601184828930, 195647202043778
Offset: 1
Examples
Triangle begins
2;
6, 10;
84, 210, 218;
5040, 19740, 15330, 25426;
1249920, 5780880, 6939660, 7604610, 11979362;
...