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Number of n X 7 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
1
3, 2088, 238532, 27938670, 3229944132, 382399996325, 45587718323826, 5491408595796062, 665386690317576640, 81085002249528800607, 9923283116879850553806, 1218979761697887011274578
EXAMPLE
Some solutions for n=2
..1..0..1..0..1..0..0. .0..0..0..0..0..0..1. .0..0..1..0..0..0..0
..0..0..1..0..1..0..1. .1..1..0..0..0..1..0. .0..1..1..0..1..0..1
Number of n X 6 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
1
1, 520, 32253, 1853532, 108110791, 6394436704, 382399996325, 23061514189084, 1399727072882973, 85393260809630392, 5231506248052898794, 321628304145152717720, 19832505642478450579224, 1226074610187600024235498
EXAMPLE
Some solutions for n=3
..1..1..0..1..0..0. .0..1..1..1..0..0. .0..1..1..0..0..0. .1..0..0..0..1..0
..1..0..0..1..0..0. .0..0..0..1..0..0. .1..0..0..0..0..0. .0..0..0..1..1..0
..1..1..0..0..0..0. .0..0..0..0..1..0. .0..0..0..0..0..0. .0..1..1..1..0..0
Number of n X 5 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
1
0, 126, 3932, 123706, 3584756, 108110791, 3229944132, 98063836816, 2979455186170, 91160980841335, 2796112154318134, 86095874180805420, 2657384402642912532, 82232542990639333587, 2549783287899756993727
EXAMPLE
Some solutions for n=4
..0..0..1..0..0. .0..0..1..0..1. .0..0..0..1..0. .0..0..1..0..0
..1..0..0..1..1. .1..0..0..1..0. .1..0..0..0..1. .1..0..0..1..0
..1..1..0..1..1. .0..0..1..1..0. .0..1..1..0..0. .1..0..1..0..1
..0..1..0..0..0. .1..0..1..1..0. .0..0..1..1..1. .1..1..0..0..1
Number of n X 4 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
1
0, 30, 538, 8270, 123706, 1853532, 27938670, 424161696, 6473516290, 99212813068, 1525788269640, 23533226594814, 363874149524074, 5638501690692214, 87539755014915366, 1361389260565705844, 21203931694258697402
EXAMPLE
Some solutions for n=4
..0..1..1..1. .0..0..1..0. .1..1..0..0. .1..0..0..0. .0..1..0..1
..0..0..0..1. .1..0..1..0. .0..0..1..0. .1..0..1..0. .0..0..0..1
..1..0..0..1. .1..0..0..0. .1..1..0..1. .0..1..0..1. .1..0..0..0
..0..0..1..1. .1..1..1..0. .0..0..0..0. .1..0..0..0. .0..1..1..1
Number of n X 3 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
1
0, 5, 50, 538, 3932, 32253, 238532, 1875212, 14222474, 110768815, 851356180, 6619388000, 51243150110, 398853561051, 3101596551513, 24188042117410, 188685917890136, 1474444397004861, 11529364760294089, 90260751863587788
EXAMPLE
Some solutions for n=4
..1..0..1. .0..0..1. .0..1..0. .0..1..1. .1..0..0. .1..1..0. .0..1..1
..0..0..1. .1..1..0. .0..1..1. .0..0..0. .0..0..0. .1..1..0. .0..0..1
..1..0..0. .0..0..1. .0..1..0. .1..1..0. .1..0..1. .1..0..0. .0..0..1
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .1..0..0. .0..0..1. .1..0..0
Number of n X 2 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
+0
2
0, 0, 5, 30, 126, 520, 2088, 8192, 32083, 125728, 492331, 1927334, 7545086, 29542032, 115713230, 453479812, 1778221568, 6976989468, 27390464896, 107590106636, 422842742731, 1662688326476, 6541232413273, 25746371202362, 101384373381977
EXAMPLE
Some solutions for n=4
..0..0. .0..1. .1..0. .0..1. .0..0. .0..0. .1..0. .0..0. .0..0. .0..1
..1..0. .0..0. .0..0. .0..1. .1..1. .0..1. .1..0. .0..1. .1..0. .0..0
..1..0. .0..0. .0..1. .0..0. .0..0. .0..1. .0..0. .0..0. .0..1. .1..1
..0..0. .1..0. .1..0. .1..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..0
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