A284193
Number of n X 2 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 40, 131, 455, 1611, 5818, 21328, 78965, 294721, 1107257, 4182655, 15873631, 60485153, 231287810, 887184904, 3412621088, 13159857176, 50862414259, 196984720481, 764321821293, 2970680947542, 11563991293971, 45079009826426
Offset: 1
Some solutions for n=4
..0..0. .0..1. .0..1. .0..1. .0..0. .0..1. .0..1. .0..0. .0..0. .0..0
..1..1. .0..1. .0..1. .1..1. .0..0. .0..1. .1..0. .0..0. .0..0. .0..0
..1..0. .0..0. .0..1. .0..1. .1..0. .1..0. .1..0. .0..1. .0..0. .0..0
..0..1. .1..1. .1..0. .0..0. .1..1. .0..1. .1..0. .1..1. .1..1. .0..0
A284194
Number of n X 3 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 43, 412, 1919, 18842, 105367, 983238, 6123441, 54284366, 362590384, 3094974718, 21686456978, 180282797672, 1306154902037, 10663354100162, 79101065751066, 637908191485185, 4812317630514559, 38492627004755585
Offset: 1
Some solutions for n=4
..0..1..0. .0..0..1. .0..1..0. .0..0..0. .0..1..0. .0..0..1. .0..0..0
..0..1..1. .0..1..1. .1..1..0. .1..0..1. .0..0..1. .1..1..0. .1..1..1
..1..1..1. .0..1..1. .1..0..0. .1..1..1. .1..1..0. .1..1..0. .1..0..1
..0..0..0. .0..1..1. .1..0..1. .1..0..0. .0..1..1. .0..1..0. .0..1..0
A284195
Number of n X 4 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 40, 412, 5268, 71181, 1001047, 14392557, 210449237, 3113715736, 46513546197, 700181791562, 10607318574496, 161549350874286, 2471455506147877, 37954136853757557, 584775548813145717, 9035444086858648868
Offset: 1
Some solutions for n=4
..0..1..0..1. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0
..0..0..0..1. .1..1..0..0. .0..0..0..1. .1..0..1..1. .1..1..0..0
..0..0..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0. .1..1..0..0
..1..1..1..1. .0..0..1..1. .1..1..0..1. .0..1..1..1. .1..1..1..1
A284196
Number of n X 5 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 131, 1919, 71181, 1488503, 54333131, 1321614728, 45952259333, 1219757876905, 40859784312028, 1146325236883584, 37457479952593565, 1089802904379131200, 35049513938138368608, 1044879421569977298080, 33275440972162414040143
Offset: 1
Some solutions for n=4
..0..0..0..1..1. .0..1..1..1..1. .0..0..1..1..0. .0..0..0..0..0
..1..0..1..1..1. .1..0..1..0..0. .1..0..0..1..1. .0..0..1..1..0
..1..0..0..1..1. .1..1..0..0..1. .1..0..1..1..0. .0..1..1..1..0
..1..1..0..0..0. .0..0..1..0..0. .0..1..0..1..0. .1..1..1..1..1
A284197
Number of n X 6 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 455, 18842, 1001047, 54333131, 3083244672, 178138187113, 10468760423253, 622301968698475, 37339790561577376, 2256975037851499153, 137242646380023688189, 8386798450042067878075, 514631022193968182602408
Offset: 1
Some solutions for n=3
..0..1..0..1..1..0. .0..0..0..1..1..0. .0..1..1..0..0..1. .0..1..0..1..0..0
..0..1..1..1..0..0. .0..1..1..0..0..1. .1..1..0..0..0..0. .0..1..1..1..1..1
..0..1..0..1..0..0. .0..1..1..0..1..1. .1..0..1..0..1..1. .0..0..0..1..0..1
A284198
Number of n X 7 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 1611, 105367, 14392557, 1321614728, 178138187113, 18564422929880, 2429325477564655, 271315506003954612, 34775052300161919967, 4048381878219586826112, 512565378120434864463849
Offset: 1
Some solutions for n=3
..0..1..0..0..0..0..1. .0..1..1..1..0..0..1. .0..1..0..1..0..1..1
..1..0..1..1..1..0..1. .1..1..1..0..0..1..1. .1..1..0..0..0..1..1
..1..0..0..1..0..1..1. .0..0..1..1..0..0..0. .0..0..0..1..1..1..0
A284192
Number of n X n 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 43, 5268, 1488503, 3083244672, 18564422929880, 573011303756296687, 62959447148443427630088
Offset: 1
Some solutions for n=4
..0..0..0..1. .0..0..1..1. .0..1..1..1. .0..1..0..1. .0..1..1..0
..0..0..1..1. .1..0..0..0. .0..0..0..0. .0..0..0..1. .0..1..0..1
..1..0..0..0. .1..0..0..0. .1..0..1..1. .0..1..1..0. .1..0..1..0
..1..1..0..1. .1..1..1..1. .0..1..1..1. .1..0..1..1. .1..0..0..1
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