A197487 Number of nonsingular n X n matrices with elements from {0,1,2}.

1, 2, 50, 12792, 30844560, 671869521960, 129553882116606720

Offset

0,2

Links

Table of n, a(n) for n=0..6.

Minfeng Wang, C++ program to calculate A197487

Mathematica

(* 2x2 case *) cnt = 0; Do[d = Det[{{a, b}, {c, d}}]; If[d != 0, cnt++], {a, 0, 2}, {b, 0, 2}, {c, 0, 2}, {d, 0, 2}]; cnt (* T. D. Noe, Nov 29 2011 *)

Crossrefs

Cf. A055165, A056989.

Sequence in context: A210924 A355629 A203766 * A080293 A084107 A203746

Adjacent sequences: A197484 A197485 A197486 * A197488 A197489 A197490

Keyword

nonn,more

Author

Roger Hui, Nov 29 2011

Extensions

a(5)-a(6) from Minfeng Wang, May 29 2024

a(0)=1 prepended by Alois P. Heinz, May 29 2024

Status

approved