A051752 Number of n X n (real) {0,1}-matrices having determinant A003432(n).

1, 1, 3, 3, 60, 3600, 529200, 75600, 195955200, 13716864000

Offset

0,3

Links

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

Eric Weisstein's World of Mathematics, Hadamard's Maximum Determinant Problem.

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

Luke Zeng, Shawn Xin, Avadesian Xu, Thomas Pang, Tim Yang, Maolin Zheng, Seele's New Anti-ASIC Consensus Algorithm with Emphasis on Matrix Computation, arXiv:1905.04565 [cs.CR], 2019.

Miodrag Zivkovic, Classification of small (0,1) matrices, arXiv:math/0511636 [math.CO], 2005.

Miodrag Zivkovic, Classification of small (0,1) matrices, Linear Algebra and its Applications, 414 (2006), 310-346.

Crossrefs

Cf. A003432, A046747, A086264, A089478, A188895.

Sequence in context: A100065 A066807 A165497 * A332786 A102065 A102074

Adjacent sequences: A051749 A051750 A051751 * A051753 A051754 A051755

Keyword

nonn,hard,more

Author

Eric W. Weisstein

Extensions

a(5) = 3600 from Daniel P. Corson (danl(AT)MIT.EDU), Jan 09 2000

a(6) = 529200, a(7) = 75600 from Ulrich Hermisson (uhermiss(AT)rz.uni-leipzig.de), Feb 25, 2003

More terms from Miodrag Zivkovic (ezivkovm(AT)matf.bg.ac.yu), Feb 28 2006

a(0)=1 prepended by Alois P. Heinz, Dec 20 2023

Status

approved