A183476
Number of n X 2 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
3, 15, 39, 135, 495, 1647, 5751, 20223, 70119, 244863, 855927, 2985903, 10426887, 36416223, 127148535, 444006927, 1550518119, 5414352255, 18907098327, 66024403695, 230558764743, 805118884191, 2811503074743, 9817858453455
Offset: 1
Some solutions for 4 X 2.
..2..2....2..2....1..1....0..0....2..2....0..0....0..0....2..2....0..0....1..1
..0..0....2..2....0..2....0..0....1..1....1..1....2..0....0..0....2..2....1..1
..1..1....0..0....2..1....1..1....0..0....1..1....2..0....2..2....1..1....2..2
..0..0....1..1....2..2....0..0....2..2....1..1....0..0....2..2....1..1....0..0
A183477
Number of nX3 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
5, 39, 117, 587, 2925, 12131, 58333, 270611, 1220877, 5724163, 26403017, 121544939, 564597457, 2608586447, 12062272841, 55880316803, 258485374601, 1196311279235, 5538446306557, 25631318490835, 118643423750561, 549199683026799
Offset: 1
Some solutions for 4X3
..1..1..0....1..1..1....0..2..2....1..1..0....1..1..0....2..2..0....1..1..0
..1..1..0....1..1..0....0..0..0....1..1..0....1..1..0....0..0..0....1..1..0
..1..1..0....2..2..2....1..0..2....0..0..0....2..2..0....1..0..0....0..0..0
..1..1..0....2..1..2....1..0..2....0..0..0....2..2..0....1..0..0....2..2..0
A183478
Number of nX4 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
7, 135, 587, 4015, 40073, 270549, 1942323, 15984991, 119888365, 894632985, 6977123487, 53362780811, 405255680609, 3117495042837, 23903072796727, 182681815961381, 1400954811635395, 10740879929227211, 82253911392409687
Offset: 1
Some solutions for 6X4
..0..0..0..0....0..0..1..1....0..0..0..0....0..2..1..0....0..0..0..0
..2..2..0..2....1..0..1..1....1..2..0..0....0..2..1..0....0..0..1..1
..0..0..0..2....1..0..0..0....1..2..0..0....0..0..0..0....0..0..1..1
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1....0..0..0..0
..0..0..0..2....2..1..2..2....0..0..0..2....0..0..0..0....1..1..0..1
..1..1..0..2....2..1..2..2....2..2..0..2....1..1..0..0....1..1..0..1
A183479
Number of nX5 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
13, 495, 2925, 40073, 706473, 7773025, 107741253, 1577932971, 20728674493, 287526589977, 4036331530635, 55313628172919, 767230355186961, 10669808831015745, 147604547979187367, 2047336009619708185
Offset: 1
Some solutions for 4X5
..1..1..0..1..1....1..0..0..0..0....1..1..0..0..0....2..2..0..1..1
..0..0..0..0..0....1..0..0..2..2....2..0..0..0..2....0..0..0..0..0
..0..2..1..0..1....0..0..0..0..0....1..2..0..0..2....1..2..2..2..0
..0..2..1..0..1....0..0..2..2..0....2..2..0..0..0....1..2..2..2..0
A183480
Number of nX6 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
23, 1647, 12131, 270549, 7773025, 116198719, 2519745049, 56697667073, 1077056431167, 22884814320491, 486391513434439, 9923123962205421, 208990562982405425, 4391311455637955479, 91402396553197281527
Offset: 1
Some solutions for 4X6
..0..2..2..0..1..1....0..0..0..0..1..1....0..1..1..2..1..2....0..0..0..0..0..1
..0..0..0..0..0..0....0..0..0..0..2..0....0..1..1..0..2..2....0..0..0..0..0..1
..0..0..0..0..1..0....1..2..1..0..1..2....0..2..2..0..0..0....1..0..2..2..0..0
..0..1..1..0..1..0....1..2..1..0..2..2....0..0..0..0..1..1....1..0..2..2..0..0
A183475
Number of n X n 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
1, 15, 117, 4015, 706473, 116198719, 84056287173
Offset: 1
Some solutions for 4X4
..0..1..1..0....0..0..0..0....2..0..1..0....2..1..2..1....0..0..2..2
..0..0..0..0....1..0..0..0....2..0..1..0....2..0..1..1....2..0..0..0
..2..0..1..2....1..0..0..1....0..0..0..0....0..0..0..0....2..0..0..0
..2..0..1..2....0..0..0..1....1..1..0..0....0..2..2..0....0..0..0..0
A183481
Number of nX7 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
37, 5751, 58333, 1942323, 107741253, 2519745049, 84056287173
Offset: 1
Some solutions for 4X7
..0..0..0..1..1..0..2....0..0..0..0..2..1..0....0..0..1..0..2..2..0
..0..0..0..1..0..0..2....0..0..0..0..2..1..0....0..0..1..0..0..0..0
..0..1..0..0..2..0..0....0..0..0..0..0..0..0....0..0..0..0..1..0..0
..0..1..0..2..2..0..0....0..0..0..0..0..2..2....0..1..1..0..1..0..0
A183482
Number of nX8 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.
Original entry on oeis.org
63, 20223, 270611, 15984991, 1577932971, 56697667073
Offset: 1
Some solutions for 4X8
..0..0..0..0..0..2..2..0....0..0..0..0..0..0..1..1....0..0..0..1..1..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..2....0..0..0..0..0..0..1..1
..0..0..0..0..1..1..1..2....0..0..0..2..2..0..2..1....0..0..1..0..1..0..1..1
..0..1..1..0..1..1..1..2....0..0..0..2..2..0..2..2....0..0..1..0..1..0..1..1
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