A086264 Number of real {0,1} n X n matrices having determinant=1.

1, 1, 3, 84, 10020, 4851360, 9240051240, 67745781734400, 1883481284085791040, 196623212252486487552000

Offset

0,3

Links

Table of n, a(n) for n=0..9.

Hugo Pfoertner, Determinants of (0,1)-matrices. FORTRAN program.

Minfeng Wang, C++ program

Eric Weisstein's World of Mathematics, (0,1)-Matrix.

Index entries for sequences related to binary matrices

Mathematica

a[n_] := Module[{M, iter, cnt = 0}, M = Table[a[i, j], {i, 1, n}, {j, 1, n}]; iter = Thread[{Flatten[M], 0, 1}]; Do[If[Det[M] == 1, cnt++], Evaluate[Sequence @@ iter]]; cnt];
Do[Print[n, " ", a[n]], {n, 1, 4}] (* Jean-François Alcover, Dec 09 2018 *)

Crossrefs

Cf. A003024, A003432, A051752, A055165.

Cf. A046747.

Sequence in context: A217524 A394557 A203453 * A160878 A152791 A179431

Adjacent sequences: A086261 A086262 A086263 * A086265 A086266 A086267

Keyword

nonn,hard,more

Author

Hugo Pfoertner, Oct 05 2003

Extensions

a(0)=1 prepended by Alois P. Heinz, Jun 18 2022

a(7) from Minfeng Wang, Feb 09 2023

a(8) from Minfeng Wang, Apr 26 2024

a(9) from Dominik Beck, Jul 02 2026

Status

approved