A358739 - cp's OEIS frontend

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.

n	a(n)
1	2
2	6
3	10
4	84
5	210
6	218
7	5040
8	19740
9	15330
10	25426
11	1249920
12	5780880
13	6939660
14	7604610
15	11979362
16	1259919360
17	7533267840
18	9297061200
19	12276675180
20	14280964866
21	24071588290
22	5120312279040
23	34082078607360
24	48312946523520
25	78970351980240
26	88215877158444
27	112601184828930
28	195647202043778

[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]

cp's OEIS Frontend

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.

Table of values

List of values