A284159
Number of n X 2 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
2, 4, 13, 42, 134, 467, 1689, 6210, 23178, 87336, 331172, 1262635, 4836199, 18592719, 71697865, 277195002, 1074041216, 4169581090, 16214541562, 63150645344, 246288102302, 961707595682, 3759467766802, 14711266580343, 57620439699189
Offset: 1
Some solutions for n=4
..0..0. .0..0. .0..1. .0..1. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1
..0..0. .0..1. .1..0. .1..0. .0..0. .1..0. .0..1. .0..1. .0..0. .1..1
..0..1. .1..1. .0..1. .1..0. .1..1. .1..1. .0..0. .0..1. .1..1. .0..0
..1..1. .1..1. .1..0. .0..1. .1..1. .0..0. .1..1. .1..0. .0..1. .0..1
A284160
Number of n X 3 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
3, 13, 62, 461, 2872, 21790, 154108, 1174235, 8682209, 66280564, 500956582, 3842195970, 29399659661, 226595079490, 1747037865422, 13523344571285, 104799855374221, 814166845363267, 6333123661559589, 49348005883512820
Offset: 1
Some solutions for n=4
..0..0..0. .0..1..1. .0..1..1. .0..0..1. .0..0..1. .0..0..1. .0..0..1
..1..0..0. .1..1..1. .1..0..1. .1..1..1. .1..0..0. .1..0..0. .0..1..1
..0..1..1. .0..1..0. .0..1..0. .1..0..0. .1..1..1. .0..1..1. .0..0..1
..1..1..1. .0..1..0. .0..0..1. .0..1..0. .0..1..0. .1..0..1. .1..0..1
A284161
Number of n X 4 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
6, 42, 461, 5888, 80072, 1142173, 16699997, 247899694, 3717494360, 56178550056, 854108948176, 13048507894281, 200142020916533, 3080098116131143, 47536024103910119, 735432363055523510, 11402172535387288712
Offset: 1
Some solutions for n=4
..0..1..0..1. .0..0..0..0. .0..0..1..0. .0..1..0..0. .0..1..1..1
..0..0..0..1. .1..1..1..1. .1..1..0..1. .0..1..0..0. .0..0..1..0
..1..1..1..0. .1..0..1..0. .1..0..0..1. .1..0..1..1. .1..0..1..0
..1..1..1..0. .1..0..1..0. .0..1..0..1. .1..1..0..1. .0..1..1..1
A284162
Number of n X 5 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
10, 134, 2872, 80072, 2179255, 63520018, 1852406216, 55270158210, 1656400271264, 50135651563711, 1524221988811958, 46590358960961268, 1429160917194970783, 43992270165786177866, 1357848185549167921892, 42014950110987162854896
Offset: 1
Some solutions for n=4
..0..1..0..1..1. .0..0..1..0..1. .0..0..0..0..1. .0..0..1..0..0
..0..0..1..1..0. .0..1..1..1..1. .0..0..1..0..1. .1..0..1..1..1
..1..0..1..0..0. .0..0..0..1..1. .0..0..1..1..0. .0..1..1..0..0
..1..0..1..0..1. .1..0..0..1..1. .0..1..1..0..1. .1..1..0..0..0
A284163
Number of n X 6 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
19, 467, 21790, 1142173, 63520018, 3648835932, 213897742464, 12712253739523, 762954434250117, 46132889929802552, 2805893251846100894, 171472537110465965686, 10520216685129431413147, 647576935194197811151494
Offset: 1
Some solutions for n=3
..0..1..0..1..0..0. .0..1..0..1..1..1. .0..0..0..0..1..1. .0..1..0..1..1..1
..0..1..1..0..0..0. .0..1..1..1..1..1. .0..1..1..1..0..1. .1..0..0..0..1..1
..1..1..1..0..0..0. .0..0..0..1..1..1. .1..1..1..0..0..0. .1..0..0..1..0..1
A284164
Number of n X 7 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
33, 1689, 154108, 16699997, 1852406216, 213897742464, 25064817057781, 2981736353245523, 357844048109256955, 43278292532056389680, 5263990195553603263431, 643350359729498071977340
Offset: 1
Some solutions for n=3
..0..1..1..1..0..1..0. .0..1..0..0..1..1..1. .0..0..0..0..0..1..1
..0..1..1..0..0..1..1. .1..1..1..0..1..1..0. .0..0..0..1..1..0..0
..0..1..0..1..0..0..1. .0..0..1..0..0..1..0. .1..1..1..0..1..1..0
A284158
Number of n X n 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
Original entry on oeis.org
1, 4, 62, 5888, 2179255, 3648835932, 25064817057781, 708804054303474038
Offset: 1
Some solutions for n=4
..0..1..0..0. .0..0..1..1. .0..0..1..1. .0..1..1..0. .0..0..0..1
..1..0..1..1. .0..1..0..0. .0..0..1..1. .0..1..0..1. .0..0..1..0
..0..0..1..1. .1..1..0..0. .0..1..1..1. .0..1..1..0. .1..1..0..0
..1..0..1..0. .1..1..1..0. .0..1..1..1. .1..0..0..1. .1..1..1..1
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