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A351984 a(n) is the number of symmetric anti-Hadamard matrices of order n whose sum of the inverse squares of their singular values is maximal.

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%I A351984 #8 Mar 13 2022 18:56:39
%S A351984 1,2,6,24,120,840,5040
%N A351984 a(n) is the number of symmetric anti-Hadamard matrices of order n whose sum of the inverse squares of their singular values is maximal.
%C A351984 The sequence of the ratio a(n+1)/a(n) begins with 2, 3, 4, 5, 7, 6, ...
%C A351984 Is a(n+1)/a(n) integer for all n? If that is true, excluding the number 1, is the sequence of the ratio a(n+1)/a(n) a permutation of all other natural numbers?
%H A351984 R. L. Graham and N. J. A. Sloane, <a href="http://dx.doi.org/10.1016/0024-3795(84)90090-9">Anti-Hadamard matrices</a>, Linear Alg. Applic., 62 (1984), 113-137.
%Y A351984 Cf. A005312, A005313, A119002, A351153.
%K A351984 nonn,hard,more
%O A351984 1,2
%A A351984 _Stefano Spezia_, Feb 27 2022