Number of n X n matrices over GF(2) whose characteristic polynomial is a product of (not necessarily distinct) linear factors, i.e., the characteristic polynomial has the form x^k(1+x)^(n-k) for some 0 <= k <= n.

A346210

Number of n X n matrices over GF(2) whose characteristic polynomial is a product of (not necessarily distinct) linear factors, i.e., the characteristic polynomial has the form x^k(1+x)^(n-k) for some 0 <= k <= n.