Triangular array read by rows: T(n,k) is the number of nilpotent n X n matrices over GF(2) having rank k, 0 <= k <= n-1, n >= 1.

A346412

Triangular array read by rows: T(n,k) is the number of nilpotent n X n matrices over GF(2) having rank k, 0 <= k <= n-1, n >= 1.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =1a(4) =21a(5) =42a(6) =1a(7) =105a(8) =1470a(9) =2520a(10) =1a(11) =465a(12) =32550a(13) =390600a(14) =624960a(15) =1a(16) =1953a(17) =605430a(18) =36325800a(19) =406848960a(20) =629959680a(21) =1a(22) =8001a(23) =10417302a(24) =2768025960a(25) =155009453760a(28) =1a(29) =32385a(30) =172741590a(31) =192779614440

External references