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A086264
Number of real {0,1} n X n matrices having determinant=1.
4
1, 1, 3, 84, 10020, 4851360, 9240051240, 67745781734400
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OFFSET
0,3
LINKS
Table of n, a(n) for n=0..7.
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:
A261008
A217524
A203453
*
A160878
A152791
A179431
Adjacent sequences:
A086261
A086262
A086263
*
A086265
A086266
A086267
KEYWORD
nonn
,
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
STATUS
approved
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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)