A284329
Number of n X 3 0..1 arrays with the number of 1's horizontally, diagonally 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, 49, 415, 2243, 19385, 122495, 1021999, 7013557, 56860451, 409700413, 3264497171, 24241023451, 191315053703, 1447951944431, 11372354830403, 87138438742684, 682980793270605, 5276292595391119, 41334416149705333
Offset: 1
Some solutions for n=4
..0..1..1. .0..0..0. .0..1..0. .0..0..1. .0..1..1. .0..1..1. .0..0..1
..1..0..0. .0..0..1. .0..1..1. .0..0..1. .1..1..1. .0..1..1. .0..1..0
..1..1..0. .1..1..0. .1..0..0. .1..0..1. .0..1..0. .0..1..1. .0..0..1
..1..0..0. .1..1..1. .1..0..1. .0..1..0. .1..1..0. .1..1..0. .1..1..1
A284330
Number of n X 4 0..1 arrays with the number of 1's horizontally, diagonally 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, 34, 373, 5130, 70039, 1000935, 14581112, 215806808, 3229703988, 48741017873, 740325265021, 11303036259207, 173296776954307, 2666236456702222, 41141752932262310, 636440516858225998, 9866818127969621217
Offset: 1
Some solutions for n=4
..0..1..1..0. .0..0..0..1. .0..0..1..1. .0..1..0..0. .0..0..0..1
..0..1..1..1. .0..0..0..1. .0..1..0..1. .0..0..1..1. .1..0..0..0
..0..1..1..0. .1..1..1..0. .0..1..0..0. .0..1..1..1. .1..0..0..0
..1..1..0..0. .1..0..0..1. .1..1..0..1. .1..1..1..0. .1..1..1..1
A284331
Number of n X 5 0..1 arrays with the number of 1's horizontally, diagonally 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, 118, 2259, 68458, 1792007, 53977741, 1544903012, 46769835006, 1390664014686, 42363464831441, 1283893093528916, 39356428019998389, 1205870610270117562, 37167608852928420540, 1146797011149724787289, 35507304286797019507210
Offset: 1
Some solutions for n=4
..0..0..1..1..0. .0..1..0..0..1. .0..1..1..1..0. .0..1..1..1..1
..1..0..0..1..1. .1..1..0..0..0. .0..1..0..0..0. .0..0..1..0..1
..1..0..0..0..0. .0..0..1..1..1. .1..1..1..1..0. .1..1..0..0..1
..1..1..1..0..0. .1..0..1..0..1. .0..0..1..0..1. .0..1..0..0..0
A284332
Number of n X 6 0..1 arrays with the number of 1's horizontally, diagonally 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, 419, 18114, 966889, 53435287, 3063494246, 179138039472, 10629901713799, 637390912071364, 38521588005900251, 2342438993189208497, 143142503770615128210, 8782493512066047546985, 540663386186525386713156
Offset: 1
Some solutions for n=3
..0..1..1..1..1..1. .0..1..1..0..1..0. .0..0..0..1..1..0. .0..1..0..0..1..0
..0..1..0..0..0..1. .1..0..1..0..1..1. .1..1..0..1..0..0. .1..0..1..0..1..1
..0..0..0..0..0..1. .1..1..0..0..0..0. .1..0..0..1..1..1. .1..0..1..0..1..1
A284333
Number of n X 7 0..1 arrays with the number of 1's horizontally, diagonally 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, 1481, 120058, 13941789, 1495300322, 177476886878, 20513380740103, 2467754689139967, 294625135884008616, 35796621202795670294, 4346160057088704088179, 532218134572276626959066
Offset: 1
Some solutions for n=3
..0..0..1..1..0..1..0. .0..1..1..0..1..0..0. .0..0..0..0..1..0..1
..0..0..0..0..1..1..0. .1..0..0..1..1..1..1. .1..1..0..1..0..1..1
..0..0..1..1..1..1..0. .0..0..1..0..0..1..0. .0..1..1..0..0..1..1
A284335
Number of 2 X n 0..1 arrays with the number of 1's horizontally, diagonally 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, 4, 13, 34, 118, 419, 1481, 5394, 19848, 73880, 277222, 1047495, 3977615, 15169751, 58074521, 223081286, 859450114, 3319751314, 12852496680, 49860496892, 193783946748, 754379484650, 2941051327294, 11481400024511, 44875877924939
Offset: 1
Some solutions for n=4
..0..1..1..0. .0..1..1..0. .0..0..0..0. .0..0..1..0. .0..0..1..1
..0..1..0..1. .0..1..1..0. .1..1..1..1. .1..1..1..0. .0..1..0..1
A284336
Number of 3 X n 0..1 arrays with the number of 1's horizontally, diagonally 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, 13, 49, 373, 2259, 18114, 120058, 959041, 6725380, 53524100, 389145239, 3078502323, 22909373317, 180462930528, 1364622501692, 10722180215723, 81993405397067, 643447267719348, 4960055945696896, 38910411283028492
Offset: 1
Some solutions for n=4
..0..1..1..1. .0..0..0..0. .0..0..0..1. .0..1..1..0. .0..0..1..1
..1..1..0..0. .0..0..0..0. .0..1..1..1. .0..1..0..1. .1..1..0..0
..0..0..1..0. .0..0..0..0. .1..0..0..1. .1..0..1..0. .1..1..0..0
A284337
Number of 4 X n 0..1 arrays with the number of 1's horizontally, diagonally 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, 42, 415, 5130, 68458, 966889, 13941789, 204883324, 3047634270, 45762072338, 692220227870, 10532157295267, 161005503857341, 2470999756894057, 38049394554096755, 587563040419449964, 9095438545580032870
Offset: 1
Some solutions for n=4
..0..1..1..0. .0..0..0..1. .0..0..1..0. .0..0..0..0. .0..0..1..0
..1..1..1..0. .1..0..0..1. .1..1..1..1. .1..0..1..0. .0..1..0..1
..1..0..0..1. .0..0..1..1. .0..1..0..1. .1..1..1..1. .1..0..1..1
..0..0..0..0. .0..0..1..1. .0..0..1..0. .1..0..1..0. .1..0..1..0
A284338
Number of 5 X n 0..1 arrays with the number of 1's horizontally, diagonally 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
16, 134, 2243, 70039, 1792007, 53435287, 1495300322, 45518653024, 1328555331356, 40798892221235, 1220007716469208, 37635151585010843, 1142550719106245636, 35365628106723989270, 1084498116514868629899, 33665846562146310363380
Offset: 1
Some solutions for n=4
..0..0..1..0. .0..1..1..0. .0..0..1..0. .0..1..0..0. .0..1..1..1
..1..1..1..0. .1..0..1..0. .0..1..0..0. .1..0..1..0. .1..0..0..0
..1..0..0..0. .0..1..1..1. .0..1..1..1. .1..1..1..0. .0..0..1..0
..1..1..1..0. .0..0..0..0. .0..1..1..1. .0..1..1..1. .1..1..0..0
..1..1..1..0. .1..1..1..0. .1..0..1..1. .0..1..0..0. .0..1..1..1
A284339
Number of 6 X n 0..1 arrays with the number of 1's horizontally, diagonally 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
32, 467, 19385, 1000935, 53977741, 3063494246, 177476886878, 10461739893371, 624011970319158, 37553142489545970, 2275676365910034413, 138666493338168560209, 8487568981259644635313, 521456824010639311889624
Offset: 1
Some solutions for n=3
..0..1..1. .0..1..0. .0..1..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..0..0..0. .1..1..1. .1..0..0. .1..1..0. .1..1..1. .1..1..0. .1..1..0
..0..1..1. .0..1..0. .0..1..0. .0..1..0. .0..1..1. .1..1..0. .1..0..1
..1..0..0. .1..1..1. .1..0..1. .1..1..1. .0..0..0. .1..1..0. .1..0..0
..1..1..1. .0..1..1. .1..1..0. .1..1..1. .0..1..1. .0..1..1. .0..0..1
..0..0..1. .0..1..1. .0..1..0. .1..1..1. .1..0..0. .0..0..1. .0..0..0
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