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Number of nonsingular n X n (-1,1)-matrices.
6

%I #13 May 29 2024 08:27:03

%S 1,2,8,192,22272,11550720,25629327360,236229525504000,

%T 8858686914082897920,1331751782100764385607680

%N Number of nonsingular n X n (-1,1)-matrices.

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

%F a(n) = 2^(2*n-1) * A055165(n-1) for n>=1.

%Y Cf. A055165, A056989.

%K nonn,nice

%O 0,2

%A _Eric W. Weisstein_

%E a(5) from Winston C. Yang (winston(AT)cs.wisc.edu), Aug 26 2000

%E a(6)-a(8) computed from A055165 by _David desJardins_, Apr 22 2001

%E a(9) from _Max Alekseyev_, computed from A055165, Jan 15 2007

%E a(0)=1 prepended by _Alois P. Heinz_, May 29 2024