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Number of binary centrosymmetric matrices of size n X n.
1

%I #16 Feb 16 2025 08:33:23

%S 1,2,4,32,256,8192,262144,33554432,4294967296,2199023255552,

%T 1125899906842624,2305843009213693952,4722366482869645213696,

%U 38685626227668133590597632,316912650057057350374175801344,10384593717069655257060992658440192,340282366920938463463374607431768211456

%N Number of binary centrosymmetric matrices of size n X n.

%D T. Muir, A Treatise on the Theory of Determinants, Dover, 1960, pages 18-19.

%H Alois P. Heinz, <a href="/A247014/b247014.txt">Table of n, a(n) for n = 0..80</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CentrosymmetricMatrix.html">Centrosymmetric Matrix</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Centrosymmetric_matrix">Centrosymmetric matrix</a>

%F a(n) = 2^A000982(n).

%Y Cf. A000982, A006125.

%K nonn,changed

%O 0,2

%A _Lior Manor_, Sep 09 2014