A285024
Number of n X 2 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
0, 2, 6, 26, 104, 402, 1578, 6196, 24310, 95446, 374872, 1472938, 5790024, 22768624, 89562540, 352395768, 1386874908, 5459330780, 21494802570, 84648191106, 333419873528, 1313575442496, 5176174458602, 20401118165166, 80425006887898
Offset: 1
Some solutions for n=4
..0..0. .1..1. .0..0. .1..0. .0..0. .1..1. .0..0. .1..1. .0..0. .0..1
..1..1. .0..0. .0..1. .0..1. .0..1. .1..0. .0..0. .1..0. .0..0. .0..0
..1..0. .1..0. .0..0. .1..0. .0..1. .0..1. .0..1. .0..0. .0..1. .0..1
..0..0. .0..0. .1..1. .0..0. .0..1. .0..0. .1..0. .0..1. .0..1. .1..1
A285025
Number of n X 3 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
1, 6, 97, 442, 4892, 26226, 256732, 1544872, 14082710, 91677088, 797188437, 5483647480, 46175013577, 330178554834, 2719685483708, 19987724476418, 162187667549290, 1215451639260848, 9763451129789048, 74199887341866168
Offset: 1
Some solutions for n=4
..0..0..1. .1..1..1. .0..1..1. .1..1..1. .1..0..0. .0..0..1. .0..1..1
..0..1..0. .1..1..0. .0..0..0. .0..0..1. .1..1..1. .0..1..1. .0..1..0
..1..0..1. .0..1..0. .1..1..0. .0..0..0. .0..0..0. .0..0..1. .0..0..1
..0..0..1. .0..0..0. .1..0..0. .0..1..0. .0..0..0. .1..0..0. .0..0..1
A285026
Number of n X 4 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
2, 26, 442, 6460, 96458, 1449814, 22043878, 336883696, 5171750894, 79634735346, 1229304353554, 19015329654036, 294656614022300, 4573021347213134, 71071712948803680, 1105968089007186270, 17230453143587374712
Offset: 1
Some solutions for n=4
..0..0..0..1. .0..0..1..1. .0..0..1..0. .1..1..0..0. .1..1..1..0
..0..0..1..1. .1..1..0..1. .1..1..0..1. .0..1..0..0. .0..0..1..1
..0..0..1..0. .1..0..0..0. .0..1..1..0. .0..0..1..0. .0..0..0..0
..0..1..0..0. .0..0..0..0. .0..1..0..0. .1..1..0..1. .0..0..0..0
A285027
Number of n X 5 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
6, 104, 4892, 96458, 3708321, 85715676, 3064900470, 78636441270, 2682905798545, 73600360297334, 2433998194373248, 69767776892869600, 2261219156494126134, 66739124011458434960, 2135780550666327650338, 64294985432981238003878
Offset: 1
Some solutions for n=4
..1..1..0..1..0. .0..1..0..0..1. .0..1..1..0..1. .1..0..1..1..0
..0..1..0..0..0. .1..1..0..1..0. .1..0..1..0..1. .1..0..0..0..0
..0..1..1..0..0. .0..0..1..1..0. .1..1..0..0..0. .0..0..1..1..1
..0..1..0..1..1. .0..0..1..1..0. .0..0..0..0..1. .1..0..0..1..1
A285028
Number of n X 6 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
12, 402, 26226, 1449814, 85715676, 5075612300, 305391845288, 18488589657334, 1126075588671672, 68870780949040304, 4226950743201669212, 260180180647806426762, 16054794836399649515928, 992844716266821792438782
Offset: 1
Some solutions for n=3
..0..1..1..1..0..1. .1..1..0..0..1..1. .1..1..0..0..0..1. .0..0..1..0..0..1
..0..0..0..0..1..1. .0..0..0..1..0..1. .1..0..1..0..1..0. .0..1..0..0..0..1
..0..0..1..0..1..1. .0..0..0..0..1..1. .0..1..1..0..0..1. .1..1..0..1..1..0
A285029
Number of n X 7 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
28, 1578, 256732, 22043878, 3064900470, 305391845288, 40651048407879, 4417815478017558, 572137146947057359, 65494200478482713286, 8342393878477796934994, 986183272505897296786724
Offset: 1
Some solutions for n=2
..0..0..0..1..0..1..0. .1..1..1..1..0..0..1. .1..1..0..1..1..0..0
..0..1..1..0..1..0..1. .1..1..1..0..0..1..0. .1..0..0..0..0..1..1
A285023
Number of n X n 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
Original entry on oeis.org
0, 2, 97, 6460, 3708321, 5075612300, 40651048407879, 1063834786036208904, 129443742138071637706453
Offset: 1
Some solutions for n=4
..0..1..0..1. .1..1..0..0. .0..1..0..1. .0..0..0..1. .0..1..1..1
..1..1..1..0. .1..1..0..1. .1..1..0..0. .0..1..0..0. .1..1..0..0
..0..0..0..1. .0..0..0..1. .1..1..0..0. .1..1..1..0. .0..0..1..0
..0..0..1..0. .0..0..1..1. .1..0..1..0. .0..1..0..1. .1..0..0..0
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