A284215
Number of n X n 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 6, 70, 6511, 2417194, 3945536189, 26772321109067, 749608559151363940, 85781667864838421304454, 39910247433142071128719168435, 75224282551539452957156354090109083
Offset: 1
Some solutions for n=4
..0..1..0..1. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..1
..0..1..1..1. .1..0..1..1. .0..1..0..1. .0..1..1..1. .0..0..1..0
..0..1..1..1. .1..0..0..0. .1..0..1..0. .0..1..1..0. .0..1..0..1
..0..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..0..0. .1..1..1..0
A284216
Number of n X 2 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 6, 19, 62, 212, 751, 2719, 10002, 37258, 140108, 530646, 2021127, 7733421, 29702087, 114438213, 442099674, 1711885120, 6642102554, 25817134600, 100506778916, 391827603432, 1529486575678, 5977159139018, 23382840951503, 91561688560429, 358847611430293, 1407524281467975
Offset: 1
Some solutions for n=4:
..0..1. .0..0. .0..1. .0..0. .0..1. .0..0. .0..0. .0..1. .0..0. .0..1
..0..1. .0..0. .1..1. .0..0. .1..0. .1..1. .1..1. .0..1. .1..1. .1..1
..1..1. .0..1. .0..0. .0..0. .1..0. .1..0. .0..0. .0..1. .1..1. .1..0
..1..0. .1..0. .1..1. .0..1. .0..1. .0..1. .1..1. .0..1. .1..1. .0..1
A284217
Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 70, 467, 3224, 23218, 170155, 1264605, 9488108, 71718240, 545264052, 4165262662, 31943452900, 245786167555, 1896529843618, 14669730799547, 113713016901442, 883107039574428, 6869733556332042, 53519589494550372
Offset: 1
Some solutions for n=4
..0..1..0. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..1..0. .0..0..0
..1..0..1. .0..1..1. .0..0..1. .1..0..1. .0..1..0. .1..0..1. .0..1..1
..1..1..0. .0..1..1. .1..1..0. .0..1..1. .1..1..1. .0..0..0. .1..1..0
..0..1..0. .1..1..1. .0..0..1. .0..1..1. .1..1..1. .1..1..1. .1..0..1
A284218
Number of n X 4 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 44, 499, 6511, 91260, 1317770, 19371893, 288303232, 4330336770, 65507133232, 996599090507, 15232184395483, 233708530421124, 3597476814925298, 55530194727444557, 859222993580853779, 13322830756899018309
Offset: 1
Some solutions for n=4
..0..0..0..1. .0..1..1..0. .0..1..0..0. .0..0..1..0. .0..0..1..1
..0..1..1..0. .1..1..0..0. .1..1..1..1. .0..0..0..1. .0..0..1..0
..1..1..1..1. .0..1..1..0. .0..0..0..1. .1..1..0..1. .0..1..1..0
..0..0..0..0. .0..1..1..1. .1..0..1..1. .0..1..0..1. .1..1..1..1
A284219
Number of n X 5 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 143, 3214, 85887, 2417194, 69938626, 2058141264, 61304713234, 1842647045686, 55774782577154, 1697707702343462, 51912416104327610, 1593418341131944098, 49066300496202571019, 1515066051729449019246, 46893719654238123775675
Offset: 1
Some solutions for n=4
..0..1..0..1..0. .0..1..1..0..1. .0..0..0..1..0. .0..0..1..0..1
..1..0..0..1..1. .0..1..1..0..0. .1..1..1..1..0. .1..0..0..1..0
..1..0..1..1..0. .1..0..1..1..0. .0..0..1..1..1. .1..0..0..1..0
..1..0..0..1..1. .1..0..0..0..1. .1..0..0..0..0. .1..1..0..1..1
A284220
Number of n X 6 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 495, 22729, 1214427, 68272108, 3945536189, 232036495984, 13815034342734, 830095968128023, 50232637096543404, 3057032671368258137, 186904092471409961598, 11471093132331725037674, 706316591332466208589249
Offset: 1
Some solutions for n=3
..0..1..1..0..0..1. .0..0..1..0..1..0. .0..0..0..0..1..0. .0..0..0..0..0..1
..0..1..0..1..0..0. .0..0..1..1..1..1. .0..0..1..1..0..1. .0..0..0..1..0..1
..1..1..1..0..1..1. .0..1..1..0..0..0. .0..1..0..1..0..1. .0..0..0..1..0..1
A284221
Number of n X 7 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 1746, 163708, 17538010, 1970768869, 227677212684, 26772321109067, 3187484402643589, 383012404461341362, 46352294274050867321, 5641487492728040767503, 689803988820235909398592
Offset: 1
Some solutions for n=3
..0..1..0..1..1..0..1. .0..1..0..1..1..1..0. .0..1..1..1..0..1..0
..0..0..1..1..1..1..0. .1..0..0..0..0..1..1. .0..0..1..0..1..1..0
..0..0..0..1..0..0..1. .0..1..1..0..1..1..1. .1..1..1..0..0..0..0
A284223
Number of 2 X n 0..1 arrays with the number of 1's horizontally or antidiagonally 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, 6, 13, 44, 143, 495, 1746, 6399, 23776, 89321, 337909, 1285710, 4914573, 18861581, 72633154, 280492954, 1085801918, 4211904917, 16367963509, 63710308355, 248341387058, 969279971828, 3787525164193, 14815659532381, 58010290470976
Offset: 1
Some solutions for n=4
..0..0..1..1. .0..0..1..0. .0..0..0..0. .0..0..0..1. .0..0..0..1
..1..0..0..0. .1..1..0..0. .1..1..0..1. .1..1..0..0. .1..0..1..1
A284224
Number of 3 X n 0..1 arrays with the number of 1's horizontally or antidiagonally 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
4, 19, 70, 499, 3214, 22729, 163708, 1209005, 9018250, 67956917, 515031078, 3926103884, 30049105764, 230871573750, 1779036977175, 13746097605518, 106448904000193, 826010061981163, 6420762665883318, 49989175241774203
Offset: 1
Some solutions for n=4
..0..1..0..1. .0..0..1..1. .0..0..0..1. .0..1..1..0. .0..0..0..1
..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..1..0. .1..0..1..1
..1..0..0..1. .0..0..0..1. .1..1..1..1. .0..1..0..1. .0..0..1..1
A284225
Number of 4 X n 0..1 arrays with the number of 1's horizontally or antidiagonally 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
8, 62, 467, 6511, 85887, 1214427, 17538010, 258414316, 3854276528, 58011648676, 879122723506, 13394856893254, 204995150323546, 3148797878923546, 48517163038369066, 749553577633265717, 11606806249286351346
Offset: 1
Some solutions for n=4
..0..1..1..1. .0..0..0..1. .0..1..0..0. .0..1..1..1. .0..0..1..1
..1..1..1..0. .0..0..0..1. .1..1..0..1. .1..1..0..0. .1..0..0..0
..0..1..0..0. .0..1..0..1. .0..0..1..1. .1..0..1..0. .0..0..0..0
..1..1..1..0. .0..1..0..1. .1..0..0..1. .1..0..0..0. .1..1..1..1
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