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A187624 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation.

%I A187624 #6 Jul 22 2025 10:50:20
%S A187624 10,31,24,64,446,2,113,2924,60,948,170,12104,390,324452,36,255,37448,
%T A187624 2146,12278892,70548,190972,336,98014,5324,221177664,4232368,
%U A187624 6090023738,3020,449,221640,16042,1896404966
%N A187624 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation.
%C A187624 Table starts
%C A187624 .....10.........31.......64.......113........170...255....336.449
%C A187624 .....24........446.....2924.....12104......37448.98014.221640
%C A187624 ......2.........60......390......2146.......5324.16042
%C A187624 ....948.....324452.12278892.221177664.1896404966
%C A187624 .....36......70548..4232368
%C A187624 .190972.6090023738
%C A187624 ...3020
%e A187624 Some k=3 solutions for 5X5
%e A187624 ..1..0..1..0..1....2..0..1..3..2....2..0..1..2..3....1..0..2..0..1
%e A187624 ..0..2..1..2..0....0..2..0..2..0....0..2..0..2..1....0..2..1..2..2
%e A187624 ..1..0..1..0..1....1..0..1..0..1....1..3..2..0..1....2..0..3..0..2
%e A187624 ..3..2..2..2..3....2..2..3..2..1....0..2..0..2..1....0..2..0..2..2
%e A187624 ..1..0..1..0..1....2..0..1..0..2....2..3..1..0..2....1..3..2..0..1
%Y A187624 Row 1 is A059306
%K A187624 nonn,tabl
%O A187624 1,1
%A A187624 _R. H. Hardin_ Mar 12 2011