A284107
Number of n X 2 0..1 arrays with the number of 1's king-move 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, 46, 160, 571, 2095, 7802, 29326, 111040, 422862, 1617611, 6210935, 23922207, 92387315, 357629430, 1387192894, 5390374430, 20979391112, 81768490420, 319107181678, 1246785919174, 4876478734046, 19091509694075
Offset: 1
Some solutions for n=4
..0..1. .0..1. .0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..1
..0..0. .1..0. .0..1. .1..1. .1..0. .1..1. .1..0. .1..1. .0..1. .0..1
..1..1. .1..0. .1..0. .1..1. .1..1. .1..1. .1..0. .1..0. .1..1. .1..0
..1..1. .0..1. .1..0. .1..1. .1..1. .0..0. .1..0. .0..0. .0..1. .0..1
A284108
Number of n X 3 0..1 arrays with the number of 1's king-move 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, 25, 435, 1230, 20275, 67957, 1057769, 4091201, 57977326, 251405237, 3267210309, 15553103766, 187647577263, 965234391129, 10933376520347, 60012823834203, 644348267987097, 3735767137025182, 38329302231936856
Offset: 1
Some solutions for n=4
..0..1..0. .0..0..1. .0..1..1. .0..1..1. .0..1..1. .0..1..1. .0..0..0
..0..1..0. .1..1..0. .1..0..1. .0..0..1. .0..0..0. .1..0..0. .1..1..1
..1..0..1. .1..0..0. .0..0..0. .1..0..0. .1..1..0. .1..1..0. .1..1..1
..1..0..1. .1..1..0. .1..0..1. .1..1..0. .0..1..1. .0..1..0. .0..0..0
A284109
Number of n X 4 0..1 arrays with the number of 1's king-move 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, 46, 435, 5896, 80200, 1143533, 16442183, 240146980, 3538905880, 52568393480, 785872613710, 11812436439395, 178382105544907, 2704771593353921, 41159406062915663, 628343298365437332, 9619941922149572518
Offset: 1
Some solutions for n=4
..0..0..1..1. .0..0..0..0. .0..0..1..0. .0..0..1..0. .0..0..1..1
..0..1..0..0. .0..1..1..1. .0..0..1..1. .1..0..1..1. .0..0..1..1
..0..1..1..1. .1..0..0..1. .0..0..1..1. .0..1..0..1. .0..0..1..1
..0..1..0..1. .1..1..0..1. .0..1..0..1. .1..1..0..0. .1..0..0..1
A284110
Number of n X 5 0..1 arrays with the number of 1's king-move 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, 160, 1230, 80200, 905327, 61595318, 835390074, 51786529350, 809052347723, 45439256969227, 794944298301218, 40943771868824816, 785978026788227426, 37601651099754921818, 779704805295540859956, 35038029006397610068684
Offset: 1
Some solutions for n=4
..0..1..0..1..1. .0..1..0..1..0. .0..0..1..1..0. .0..1..1..0..1
..1..1..1..1..0. .1..0..1..1..0. .0..1..1..0..1. .0..0..1..0..1
..0..0..0..1..0. .1..0..0..1..0. .1..0..0..0..1. .0..0..1..0..1
..0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..1. .0..0..1..1..0
A284111
Number of n X 6 0..1 arrays with the number of 1's king-move 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, 571, 20275, 1143533, 61595318, 3514396333, 202053817163, 11804599876991, 696189477669561, 41397421665690592, 2478089134627067931, 149178023741969838411, 9023810344121753702370, 548148352070756658354415
Offset: 1
Some solutions for n=3
..0..1..0..0..0..1. .0..0..0..1..1..1. .0..0..1..0..1..1. .0..0..0..1..1..0
..0..0..1..1..0..1. .0..1..1..0..0..1. .1..1..0..1..1..0. .1..0..1..0..0..1
..1..1..0..0..1..1. .1..1..1..0..0..0. .0..0..1..0..1..0. .1..1..1..0..1..0
A284112
Number of n X 7 0..1 arrays with the number of 1's king-move 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, 2095, 67957, 16442183, 835390074, 202053817163, 12336109217951, 2717300368732547, 189648871247418668, 38157272354610084376, 2957145586181369921070, 550690134528386541356991
Offset: 1
Some solutions for n=3
..0..1..0..1..0..0..0. .0..1..0..1..0..0..1. .0..0..1..0..1..1..0
..0..0..0..1..0..1..1. .1..0..1..1..0..1..1. .1..1..1..0..0..0..1
..1..1..1..0..1..1..1. .0..0..0..0..1..1..1. .1..1..0..0..0..1..1
A284106
Number of n X n 0..1 arrays with the number of 1's king-move 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, 25, 5896, 905327, 3514396333, 12336109217951, 635264284970617848, 46214926085757662096414
Offset: 1
Some solutions for n=4
..0..0..0..1. .0..0..1..1. .0..1..0..1. .0..1..1..0. .0..1..1..0
..1..0..0..1. .1..1..1..1. .0..0..1..1. .1..1..1..0. .1..1..0..1
..1..1..0..0. .0..0..1..1. .0..0..1..0. .1..0..1..0. .1..0..0..0
..1..0..1..1. .1..0..0..0. .1..1..1..0. .1..0..0..0. .0..0..1..1
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