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Number of (n+1) X (n+1) 0..3 arrays with each 2 X 2 subblock off diagonal and antidiagonal nonsingular and the array of 2 X 2 subblock determinants antisymmetric about the diagonal and antidiagonal.
0

%I #6 Apr 21 2021 14:18:40

%S 64,8272,322,81456,530,230446

%N Number of (n+1) X (n+1) 0..3 arrays with each 2 X 2 subblock off diagonal and antidiagonal nonsingular and the array of 2 X 2 subblock determinants antisymmetric about the diagonal and antidiagonal.

%C Column 3 of A187705.

%e Some solutions for 4 X 4

%e ..0..0..3..0....0..0..2..0....2..1..0..0....0..0..1..1....0..2..0..0

%e ..2..1..1..0....2..3..2..0....2..1..1..1....3..3..3..3....0..1..1..2

%e ..3..3..3..3....0..3..2..3....3..1..1..0....0..1..1..2....2..1..1..0

%e ..2..2..1..1....0..3..0..0....0..0..1..0....0..3..0..0....0..0..2..0

%Y Cf. A187705.

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 12 2011