A183444
Number of n X 3 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 9, 18, 30, 107, 265, 553, 1505, 3852, 8922, 22477, 56889, 137617, 340401, 851098, 2091618, 5160851, 12817517, 31655009, 78159377, 193558964, 478614470, 1182673261, 2925763109, 7235864705, 17887850273, 44237338898, 109401520982
Offset: 1
Some solutions for 5 X 3:
..0..1..0....1..1..0....0..0..0....0..0..0....1..1..0....0..0..0....0..0..1
..0..1..1....1..0..0....0..1..1....0..1..0....0..1..0....0..0..0....0..1..1
..0..0..0....0..0..0....0..0..1....1..0..1....0..0..0....0..0..0....0..0..0
..0..1..0....0..1..1....1..0..0....1..0..1....1..0..0....1..1..0....1..0..0
..1..1..0....0..0..1....1..1..0....0..1..0....1..1..0....1..0..0....1..1..0
A183445
Number of n X 4 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 13, 30, 72, 283, 831, 2399, 7761, 23840, 72396, 225569, 696929, 2144537, 6635889, 20510002, 63318408, 195704391, 604826763, 1868678179, 5774848073, 17846507936, 55148861000, 170427655945, 526681961257, 1627610746225, 5029867948101
Offset: 1
Some solutions for 5 X 4:
..0..1..0..0....1..1..0..0....0..1..1..0....0..1..0..0....0..0..1..0
..1..0..1..0....0..1..0..0....0..0..1..0....1..1..0..0....0..1..1..0
..1..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..1..0..0....1..1..0..0....0..1..0..0....0..1..0..0....1..0..0..0
..0..0..0..0....0..1..0..0....1..1..0..0....0..1..1..0....1..1..0..0
A183446
Number of nX5 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 33, 107, 283, 2054, 9208, 34867, 176949, 833001, 3619285, 16979210, 79536106, 362125386, 1678147584, 7816357207, 36107427015, 167380756056, 778109691292, 3610178963149, 16759752441151, 77893373268254, 361906632299828
Offset: 1
Some solutions for 7X5
..0..1..1..0..0....0..0..0..0..0....0..0..0..1..1....0..0..0..0..0
..1..0..0..1..0....0..1..0..0..0....1..1..0..1..0....0..0..0..0..0
..0..1..1..0..0....1..1..0..1..0....1..0..0..0..0....0..1..0..0..0
..0..0..0..0..0....0..0..0..1..1....0..0..0..0..0....1..1..0..0..0
..1..0..0..0..0....1..1..0..0..0....0..0..0..0..0....0..0..0..0..0
..1..1..0..1..1....0..1..0..0..1....1..0..0..1..0....0..1..0..0..0
..0..0..0..1..0....0..0..0..1..1....1..1..0..1..1....0..1..1..0..0
A183447
Number of nX6 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 69, 265, 831, 9208, 53608, 257733, 1817225, 11414889, 65073225, 412023374, 2584580914, 15632039022, 96988632570, 604295047829, 3722359557561, 23052411911880, 143185736751014, 886632358849607, 5495153241025073
Offset: 1
Some solutions for 5X6
..1..0..0..1..1..0....0..0..0..0..1..0....0..1..0..1..1..0....1..1..0..1..0..0
..1..1..0..0..1..0....0..0..1..1..0..1....1..1..0..0..1..0....1..0..0..1..1..0
..0..0..0..0..0..0....0..1..0..0..0..1....0..0..0..0..0..0....0..0..0..0..0..0
..1..0..0..0..1..0....1..0..0..1..0..1....0..0..1..0..1..0....1..1..0..0..0..1
..1..1..0..0..1..1....0..1..1..0..1..0....0..1..1..0..1..1....1..0..0..0..1..1
A183448
Number of nX7 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 121, 553, 2399, 34867, 257733, 1744887, 16192521, 132651622, 1038281076, 8774615462, 72803921204, 594525068675, 4940133605905, 40989589283304, 338552166728150, 2806660250827517, 23275769947149983, 192804453727767520
Offset: 1
Some solutions for 5X7
..0..1..1..0..0..0..0....0..0..0..0..1..0..0....0..1..1..0..1..0..0
..1..0..0..1..0..0..0....0..0..0..1..1..0..0....0..0..1..0..1..1..0
..1..0..1..0..0..0..0....0..0..0..0..0..0..0....1..0..0..0..0..0..0
..0..1..0..0..1..0..0....0..0..0..0..0..1..1....1..1..0..0..1..1..0
..0..0..0..1..1..0..0....0..0..0..0..0..1..0....0..0..0..0..0..1..0
A183449
Number of nX8 binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 253, 1505, 7761, 176949, 1817225, 16192521, 216103851, 2491241396, 26807184942, 319246780548, 3727927654904, 42498891259325, 496063346878031, 5787799084661820, 67059980281582582, 780988033705277709
Offset: 1
Some solutions for 5X8
..0..1..0..0..1..1..0..0....0..1..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..1..1..0..0..1..0..0..1....0..1..1..0..0..1..1..0....0..0..1..0..0..0..1..1
..0..0..0..0..0..0..1..1....0..0..0..0..1..0..0..1....0..1..1..0..0..0..1..0
..1..0..0..0..0..0..0..0....1..1..0..0..0..1..1..0....0..0..0..0..1..0..0..0
..1..1..0..0..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..1..1..0..0
A183443
Number of n X n binary arrays with every 1 having exactly two king-move neighbors equal to 1.
Original entry on oeis.org
1, 5, 18, 72, 2054, 53608, 1744887, 216103851, 39184763856, 11314547102638, 7873316318240100, 9711485486581483616, 21262647899259681841579
Offset: 1
Some solutions for 5X5
..0..0..0..0..0....0..0..0..1..0....0..0..1..0..0....0..1..0..0..0
..1..0..0..0..0....0..1..1..0..1....0..1..0..1..0....1..1..0..1..0
..1..1..0..1..1....1..0..0..0..1....1..0..0..0..1....0..0..0..1..1
..0..0..0..0..1....1..0..0..0..1....1..0..0..0..1....1..1..0..0..0
..0..0..0..0..0....0..1..1..1..0....0..1..1..1..0....0..1..0..0..0
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