A184468
1/6 the number of (n+2)X(n+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
315, 2755, 14119, 53739, 247879, 904411, 2909367
Offset: 1
Some solutions with a(1,1)=0 for 4X4
..0..2..1..0....0..2..1..0....0..1..2..0....0..0..1..1....0..2..1..0
..0..0..0..0....1..1..2..2....0..0..1..1....1..0..0..0....1..1..2..1
..1..1..1..1....2..2..1..1....1..0..1..0....1..2..1..1....1..2..2..1
..0..1..2..0....1..0..2..1....2..0..1..2....0..0..1..1....1..2..0..1
A184469
1/6 the number of (n+2) X 3 0..2 arrays with each 3 X 3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
315, 1095, 3705, 12339, 45585, 161739, 559305, 2147931, 7836561, 27667251, 108488889, 401513355, 1432182465, 5674143555, 21145265865, 75792359259, 301775575185, 1128283339059, 4053433203225, 16177609637451, 60579025906401
Offset: 1
Some solutions with a(1,1)=0 for 4 X 3:
..0..2..2....0..1..2....0..2..0....0..0..2....0..1..2....0..1..2....0..2..1
..2..0..1....1..2..1....0..2..0....2..0..2....1..2..1....0..2..0....1..1..2
..0..2..0....2..1..2....2..1..2....2..1..0....2..1..2....2..2..0....1..2..2
..0..2..2....2..0..1....0..2..0....0..0..2....1..0..2....0..1..2....2..0..1
A184470
1/6 the number of (n+2)X4 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
1095, 2755, 7085, 19119, 62213, 200215, 645837, 2386807, 8440325, 29121087, 112850957, 413112487, 1461095205, 5765335615, 21394180445, 76423033479, 303819408773, 1133934761455, 4067862256797, 16225029630247, 60710982378005
Offset: 1
Some solutions with a(1,1)=0 for 6X4
..0..0..0..2....0..1..1..0....0..1..1..0....0..1..0..1....0..0..2..0
..2..2..0..0....1..1..0..0....0..1..2..0....1..0..0..1....2..0..2..1
..2..2..1..2....0..2..0..1....0..1..0..0....1..2..1..0....1..2..0..2
..0..0..0..2....1..0..1..1....0..1..1..0....0..1..0..1....0..0..2..0
..2..2..0..0....1..0..1..0....1..0..2..1....0..1..0..0....2..2..0..1
..2..1..2..2....0..2..0..1....0..1..0..0....1..2..1..0....1..2..0..2
A184471
1/6 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
3705, 7085, 14119, 30681, 86575, 249953, 747735, 2652785, 9085231, 30632409, 117322423, 424882145, 1490248815, 5857018745, 21643873159, 77054809761, 305865631855, 1139590008233, 4082296717095, 16272461979425, 60842958745471
Offset: 1
Some solutions with a(1,1)=0 for 4X5
..0..1..2..0..1....0..0..0..2..0....0..1..2..0..2....0..1..1..0..1
..0..0..0..0..0....1..1..1..1..0....2..2..2..2..1....0..0..1..1..0
..1..1..1..1..1....2..0..1..0..1....1..1..1..1..1....1..0..2..0..0
..0..1..2..0..1....0..0..0..2..0....0..1..2..0..2....0..1..1..0..1
A184472
1/6 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
12339, 19119, 30681, 53739, 127689, 322275, 878625, 2967411, 9800745, 32238603, 121975089, 436928547, 1519783929, 5949509979, 21894837441, 77688357939, 307915900809, 1145251722315, 4096740213585, 16319916055011, 60974970119385
Offset: 1
Some solutions with a(1,1)=0 for 4X6
..0..2..1..1..2..2....0..2..1..0..2..0....0..1..1..0..1..0....0..0..2..0..2..1
..0..2..0..1..2..1....0..0..2..0..0..2....1..2..0..1..0..1....0..2..2..1..0..1
..0..2..2..1..2..0....2..2..0..2..2..1....1..0..0..1..2..0....1..0..2..0..0..1
..0..2..1..1..2..2....0..2..1..0..2..0....1..0..1..1..0..0....0..0..2..0..2..1
A184473
1/6 the number of (n+2)X7 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
45585, 62213, 86575, 127689, 247879, 520289, 1219455, 3727073, 11454631, 35847321, 132023695, 462435665, 1581583095, 6139850633, 22407327775, 78976349889, 312058001959, 1156657902329, 4125792115215, 16415153428433
Offset: 1
Some solutions with a(1,1)=0 for 4X7
..0..2..0..0..1..0..0....0..0..0..0..1..1..1....0..2..1..0..0..1..0
..0..1..0..0..2..1..0....0..1..1..0..0..2..0....0..1..0..1..2..1..1
..1..1..1..1..1..0..1....1..1..2..1..1..0..0....1..0..1..0..1..0..0
..0..2..0..0..1..0..0....0..0..0..0..1..1..1....0..2..1..0..0..1..0
A184474
1/6 the number of (n+2)X8 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
161739, 200215, 249953, 322275, 520289, 904411, 1782585, 4808779, 13539521, 40005219
Offset: 1
Some solutions with a(1,1)=0 for 4X8
..0..0..1..0..1..2..1..1....0..0..2..0..1..2..0..1....0..1..2..0..1..1..0..0
..0..1..2..1..0..1..0..1....0..1..0..1..1..1..0..1....0..0..1..0..1..1..0..1
..1..1..0..0..1..0..0..0....1..1..1..0..0..0..1..0....0..1..1..0..0..2..0..1
..0..0..1..0..1..2..1..1....0..0..2..0..1..2..0..1....0..1..2..0..1..1..0..0
A184475
1/6 the number of (n+2)X9 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
559305, 645837, 747735, 878625, 1219455, 1782585, 2909367
Offset: 1
Some solutions with a(1,1)=0 for 4X9
..0..1..2..2..0..2..2..1..1....0..1..1..2..1..1..0..2..1
..0..1..1..2..0..1..2..1..0....0..1..0..2..1..0..0..1..0
..0..1..0..2..0..0..2..1..2....0..2..1..2..2..1..0..1..1
..0..1..2..2..0..2..2..1..1....0..1..1..2..1..1..0..2..1
A184476
1/6 the number of (n+2)X10 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.
Original entry on oeis.org
2147931, 2386807, 2652785, 2967411, 3727073, 4808779
Offset: 1
Some solutions with a(1,1)=0 for 4X10
..0..0..1..2..0..1..2..0..1..0....0..1..2..2..0..2..2..1..1..2
..0..1..1..2..1..1..2..2..1..0....0..1..1..2..1..1..2..0..1..2
..0..2..1..2..2..1..2..1..1..0....0..0..1..2..1..1..2..1..2..2
..0..0..1..2..0..1..2..0..1..0....0..1..2..2..0..2..2..1..1..2
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