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.
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.
Terms
- a(0) =2a(1) =6a(2) =10a(3) =84a(4) =210a(5) =218a(6) =5040a(7) =19740a(8) =15330a(9) =25426a(10) =1249920a(11) =5780880a(12) =6939660a(13) =7604610a(14) =11979362a(15) =1259919360a(16) =7533267840a(17) =9297061200a(18) =12276675180a(19) =14280964866a(20) =24071588290
External references
- oeis: A358739