A186119
Number of (n+1)X(n+1) binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
0, 38, 262, 4254, 90054, 4056794, 264173146, 33067061342, 6424488086390
Offset: 1
Some solutions for 3X3
..1..1..0....0..1..0....0..1..1....1..1..1....0..1..1....1..1..1....0..1..1
..0..1..1....0..1..0....1..1..0....1..1..1....1..1..1....0..0..0....0..0..0
..1..1..0....0..1..0....0..1..1....0..0..0....1..0..0....0..0..0....1..0..0
A186120
Number of (n+1) X 2 binary arrays with every 2 X 2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
0, 14, 18, 50, 74, 182, 298, 678, 1186, 2566, 4690, 9830, 18498, 38006, 72914, 147974, 287554, 579222, 1135282, 2276710, 4488226, 8978102, 17768850, 35496326, 70442882, 140631254, 279616498, 558094758, 1111168738, 2217823222, 4420075090
Offset: 1
Some solutions for 3 X 2:
..0..1....1..1....1..0....0..0....1..1....0..0....1..0....1..0....0..1....0..1
..0..0....0..0....1..1....1..1....0..0....0..0....0..0....1..0....0..1....1..1
..1..0....1..1....0..1....0..0....0..0....1..1....0..1....1..0....0..1....1..0
A186121
Number of (n+1) X 3 binary arrays with every 2 X 2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
14, 38, 94, 254, 682, 1878, 5214, 14606, 41138, 116350, 330046, 938174, 2670826, 7611430, 21707790, 61943694, 176825074, 504902766, 1441965358, 4118707422, 11765461418, 33611411190, 96025298558, 274346613774, 783834214130
Offset: 1
Some solutions for 5 X 3:
..0..1..1....0..0..1....1..0..0....0..0..1....0..0..1....0..1..1....0..0..1
..1..1..1....0..0..1....1..1..1....1..1..1....1..0..0....1..1..0....1..1..1
..1..0..0....1..0..0....0..1..1....1..1..0....0..0..1....1..1..1....1..1..0
..0..0..1....0..0..0....0..0..0....1..1..1....0..0..1....0..0..1....1..1..0
..0..0..1....0..1..1....1..0..0....0..0..1....0..0..1....0..0..1....0..1..1
A186122
Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
18, 94, 262, 946, 2978, 10502, 34678, 120290, 405274, 1395998, 4745006, 16291134, 55591062, 190569866, 651446994, 2231635906, 7634948674, 26146587758, 89488608966, 306421554338, 1048950425454, 3591569027638, 12295940315506
Offset: 1
Some solutions for 3X4
..1..0..0..0....1..1..0..0....1..0..0..1....1..0..0..0....0..1..0..0
..1..0..0..0....1..1..1..1....0..0..0..0....1..0..0..0....0..0..0..1
..0..0..1..1....0..0..1..1....0..1..1..0....1..0..0..0....1..0..0..1
A186123
Number of (n+1)X5 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
50, 254, 946, 4254, 17794, 79782, 350266, 1574348, 7039308, 31791832, 143422488, 649853710, 2944761666, 13369773598, 60719993934, 276010194872, 1254976548136, 5708622661652, 25972110429080, 118188673239130, 537890728864526
Offset: 1
Some solutions for 3X5
..0..0..1..1..0....0..0..0..1..1....1..1..0..0..1....1..0..0..1..1
..1..0..0..1..1....1..1..1..1..1....0..1..1..1..1....0..0..0..1..1
..0..0..1..1..0....1..1..1..0..0....0..1..1..1..0....0..1..1..1..0
A186124
Number of (n+1)X6 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
74, 682, 2978, 17794, 90054, 539962, 2915982, 17129792, 95854320, 556779864, 3165362160, 18297969958, 104743900094, 604164804194, 3469208600426, 19989944278608, 114949082280552, 662041931628544, 3809464845425408
Offset: 1
Some solutions for 3X6
..1..0..0..0..0..0....1..0..1..1..0..0....1..0..0..1..0..0....0..1..0..1..1..0
..1..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..1..1..0
..0..0..1..1..1..1....0..1..0..0..1..1....0..1..1..0..1..1....0..1..0..1..1..0
A186125
Number of (n+1)X7 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
182, 1878, 10502, 79782, 539962, 4056794, 29491822, 220010616, 1637583596, 12272724126, 92041463782, 692502277290, 5211824476838, 39292304082970, 296277012735686, 2235990214584584, 16877344601227160, 127445629177320202
Offset: 1
Some solutions for 3X7
..1..0..1..0..1..1..1....0..1..0..0..1..0..0....1..0..0..1..1..0..0
..1..1..1..1..1..0..0....1..1..1..0..0..0..0....1..0..0..0..0..0..1
..0..1..0..1..1..0..0....1..0..1..0..0..1..1....0..0..1..0..0..0..1
A186126
Number of (n+1)X8 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
298, 5214, 34678, 350266, 2915982, 29491822, 264173146, 2630528360, 24515504568, 241032804442, 2294311413454, 22390251063942, 215298723003602, 2093763781095758, 20224956581082238, 196384193909326548
Offset: 1
Some solutions for 3X8
..0..0..1..1..0..1..1..0....1..0..0..0..1..1..0..0....1..0..1..0..1..1..0..0
..0..0..0..1..1..1..1..1....1..0..0..0..0..1..1..1....0..0..0..0..1..1..1..1
..1..1..0..1..1..0..0..1....0..0..1..1..0..0..0..0....0..1..0..1..1..0..1..1
A186127
Number of (n+1)X9 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum.
Original entry on oeis.org
678, 14606, 120290, 1574348, 17129792, 220010616, 2630528360, 33067061342, 411149162658, 5153688541776, 64828282889916, 815418585280038, 10288257115910818, 129785918260715398, 1639362506927114546
Offset: 1
Some solutions for 3X9
..1..1..0..0..1..0..0..1..1....1..1..0..1..1..0..0..1..1
..1..1..1..0..0..0..1..1..1....0..0..0..1..1..1..0..0..0
..0..0..1..0..0..1..1..0..0....0..0..1..1..0..1..1..0..0
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