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Number of n X n (real) {0,1}-matrices having determinant A003432(n).
6

%I #28 Dec 20 2023 19:46:11

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

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HadamardsMaximumDeterminantProblem.html">Hadamard's Maximum Determinant Problem.</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/01-Matrix.html">(0, 1)-Matrix</a>

%H Luke Zeng, Shawn Xin, Avadesian Xu, Thomas Pang, Tim Yang, Maolin Zheng, <a href="https://arxiv.org/abs/1905.04565">Seele's New Anti-ASIC Consensus Algorithm with Emphasis on Matrix Computation</a>, arXiv:1905.04565 [cs.CR], 2019.

%H Miodrag Zivkovic, <a href="https://arxiv.org/abs/math/0511636">Classification of small (0,1) matrices</a>, arXiv:math/0511636 [math.CO], 2005.

%H Miodrag Zivkovic, <a href="https://doi.org/10.1016/j.laa.2005.10.010">Classification of small (0,1) matrices</a>, Linear Algebra and its Applications, 414 (2006), 310-346.

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

%K nonn,hard,more

%O 0,3

%A _Eric W. Weisstein_

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

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

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

%E a(0)=1 prepended by _Alois P. Heinz_, Dec 20 2023