A187706
Number of 3X3 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
Original entry on oeis.org
128, 1489, 8272, 31461, 93476, 235773, 524284, 1062857, 1999212, 3541677, 5967404, 9648841, 15048584, 22766353, 33534080, 48248321, 67983232, 94042589, 127929948, 171449249, 226655576, 295941137, 382036240, 488090685, 617595596, 774557293
Offset: 1
Some n=3 solutions for 3X3
..3..0..0....2..0..3....0..0..1....3..1..1....0..0..3....2..0..0....2..0..0
..2..0..3....2..0..0....3..0..1....0..0..0....0..0..3....1..0..0....0..0..0
..1..0..0....1..0..0....2..0..3....3..2..1....3..0..1....0..0..3....0..2..2
A187701
Number of (n+1)X(n+1) 0..2 arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
Original entry on oeis.org
31, 1489, 72, 5030, 36, 7410, 474, 176936
Offset: 1
Some solutions for 4X4
..0..2..0..0....0..0..1..1....0..0..2..1....0..2..0..0....0..0..1..0
..0..1..1..1....2..1..1..1....2..1..2..1....0..2..1..2....2..2..1..0
..2..2..2..0....1..1..1..2....0..1..2..2....1..2..1..0....1..2..1..2
..0..0..1..0....1..1..0..0....0..1..0..0....0..0..1..0....1..2..0..0
A187702
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.
Original entry on oeis.org
64, 8272, 322, 81456, 530, 230446
Offset: 1
Some solutions for 4 X 4
..0..0..3..0....0..0..2..0....2..1..0..0....0..0..1..1....0..2..0..0
..2..1..1..0....2..3..2..0....2..1..1..1....3..3..3..3....0..1..1..2
..3..3..3..3....0..3..2..3....3..1..1..0....0..1..1..2....2..1..1..0
..2..2..1..1....0..3..0..0....0..0..1..0....0..3..0..0....0..0..2..0
A187703
Number of (n+1) X (n+1) 0..4 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.
Original entry on oeis.org
113, 31461, 1718, 875696, 4612
Offset: 1
Some solutions for 4 X 4
..0..2..1..1....0..0..1..0....2..2..4..2....0..3..0..0....4..3..4..4
..0..1..1..1....3..2..1..0....2..2..2..1....0..1..1..2....4..3..3..3
..1..1..1..0....2..2..1..2....2..4..4..4....3..3..3..3....3..3..3..4
..3..3..4..0....4..4..1..2....2..4..3..3....0..0..1..1....1..1..0..0
A187704
Number of (n+1)X(n+1) 0..5 arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
Original entry on oeis.org
170, 93476, 2904, 4225652, 12898
Offset: 1
Some solutions for 4X4
..3..2..0..0....0..0..1..0....2..2..4..0....1..1..0..0....2..2..4..0
..3..2..2..4....3..2..1..0....5..5..5..0....1..1..2..4....2..2..2..0
..5..2..2..2....2..2..1..2....0..2..2..2....3..1..2..3....0..2..2..2
..0..0..2..2....4..4..1..2....0..5..0..0....0..0..2..3....0..4..2..2
A187707
Number of 4X4 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
Original entry on oeis.org
2, 72, 322, 1718, 2904, 9834, 13324, 31000, 49910, 84760, 98226, 211526, 234336, 325654, 454612, 691052, 742006, 1152832, 1224538, 1765938
Offset: 1
Some n=3 solutions for 4X4
..1..1..0..0....1..3..0..0....0..0..1..1....0..3..1..2....0..2..0..0
..2..2..2..2....1..3..2..3....1..1..1..1....0..1..1..2....0..2..1..3
..2..1..1..0....3..3..2..0....0..1..1..2....2..2..2..2....1..2..1..1
..0..0..2..0....0..0..2..0....0..1..0..0....0..0..1..1....1..2..2..2
A187708
Number of 5X5 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
Original entry on oeis.org
34, 5030, 81456, 875696, 4225652, 22532156, 67940472, 225606354, 577091334, 1469652502
Offset: 1
Some n=3 solutions for 5X5
..0..1..1..1..2....2..2..1..2..2....2..2..1..2..2....0..0..1..0..0
..0..1..2..1..2....1..1..0..2..2....1..1..2..1..1....1..3..0..3..3
..1..0..0..0..1....1..2..0..1..0....3..0..0..0..3....0..3..0..3..2
..1..1..1..1..0....2..2..0..1..1....1..1..2..1..0....1..3..0..3..3
..2..2..1..2..0....0..0..1..3..3....3..3..3..3..0....0..0..1..2..2
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