A231757
Number of (n+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
9, 136, 5041, 493695, 175642009, 216545491864, 682267982467600, 6184663140527966655, 184835030323441507989529, 17039092957711747812559207879, 4549223325244087259619117440725081
Offset: 1
Some solutions for n=3
..1..1..1..0....0..0..0..1....0..0..0..0....0..1..1..0....0..1..1..0
..0..0..0..1....0..0..0..1....0..1..1..1....1..0..0..0....0..0..0..0
..1..0..0..1....0..1..1..0....0..0..0..1....1..0..0..1....0..0..0..0
..1..0..0..1....1..0..0..1....0..0..0..0....1..0..0..0....0..0..0..1
A231758
Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
33, 136, 660, 3213, 14989, 70927, 338352, 1603633, 7596720, 36066272, 171140301, 811651995, 3850637109, 18269376384, 86668158745, 411153474416, 1950577525332, 9253691650061, 43899995716425, 208265361505983, 988028267125504
Offset: 1
Some solutions for n=6
..0..0..0....1..0..0....1..0..0....0..0..0....0..0..1....1..0..0....0..0..0
..1..0..1....1..1..0....0..1..1....1..0..0....0..0..0....1..0..0....1..0..1
..0..1..1....0..0..1....0..0..0....1..0..1....1..1..1....1..1..0....1..0..0
..0..0..0....0..0..1....1..0..0....0..0..0....0..0..1....1..0..0....0..0..0
..0..0..0....1..0..0....1..0..0....1..0..0....0..0..0....1..0..0....0..1..0
..1..1..0....0..1..1....0..0..0....0..1..1....1..0..1....0..1..1....0..0..0
..0..0..1....0..0..0....1..1..0....0..0..1....0..1..0....1..0..0....1..0..0
A231759
Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
100, 625, 5041, 40000, 303601, 2353156, 18318400, 141681409, 1096603225, 8501393209, 65862549769, 510117350625, 3952044600625, 30617619155761, 237184671441601, 1837438830737449, 14234617914330724, 110274092537986624
Offset: 1
Some solutions for n=4
..0..0..0..0....1..0..1..1....1..0..0..1....1..0..0..0....1..1..0..0
..0..0..0..0....0..0..0..1....0..0..0..1....1..1..0..1....0..0..0..1
..0..1..0..1....1..0..0..1....1..0..0..1....0..0..0..0....0..0..0..1
..0..0..0..0....1..0..0..0....1..1..1..0....0..0..1..1....0..0..0..0
..0..0..1..1....0..0..1..0....0..0..0..0....1..1..0..0....0..1..0..0
A231760
Number of (n+1)X(4+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
315, 2976, 38160, 493695, 5879679, 71884125, 893571840, 10965349591, 134407778400, 1654812479232, 20352945004533, 250055045333667, 3074220674469117, 37799970801628952, 464662025973498675
Offset: 1
Some solutions for n=3
..0..0..0..1..1....1..0..1..0..0....1..0..0..1..1....1..1..0..1..1
..0..0..0..0..0....0..0..0..0..0....1..1..0..0..0....0..0..0..0..0
..0..1..0..0..0....0..1..0..0..1....0..0..0..0..1....0..0..0..0..0
..1..0..1..1..1....1..0..0..0..0....1..0..1..1..0....1..1..0..0..0
A231761
Number of (n+1)X(5+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
961, 15625, 356409, 8231161, 175642009, 3855664836, 85629975876, 1881009507001, 41320353904281, 910635938795025, 20049876927417744, 441133454459003524, 9710711221453585281, 213776317733333022369, 4705328739274857392400
Offset: 1
Some solutions for n=2
..0..0..1..1..1..0....0..0..0..0..1..0....1..0..0..0..0..0....1..0..0..0..0..0
..1..1..0..0..0..1....0..0..0..0..0..1....1..0..0..1..0..0....0..1..1..0..0..0
..0..0..1..0..0..0....0..1..0..0..0..1....0..1..1..0..0..0....1..0..0..1..1..0
A231762
Number of (n+1)X(6+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
3024, 84817, 3453471, 143424652, 5493044921, 216545491864, 8624298007460, 340129511751843, 13416072442152345, 530629269304561623, 20970654950669865441, 828283329242364336935, 32728464710431240780113
Offset: 1
Some solutions for n=2
..1..0..0..1..0..0..1....0..0..0..0..0..0..1....0..1..1..1..1..0..0
..0..0..0..0..0..0..1....1..0..0..0..1..1..0....0..0..0..0..0..1..1
..0..0..0..1..0..1..0....0..0..1..1..0..0..1....0..0..1..0..0..0..1
A231763
Number of (n+1)X(7+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
9409, 440896, 30958096, 2217939025, 146247350929, 9934984224361, 682267982467600, 46367367209812224, 3151689997684400676, 214862774587748825616, 14634892191955776597081, 996191537899297169858481
Offset: 1
Some solutions for n=1
..0..1..1..0..1..0..0..1....1..0..1..1..0..0..0..1....1..1..1..1..0..0..0..0
..0..0..0..1..0..0..0..0....0..0..0..1..1..0..0..0....0..0..0..0..0..1..1..1
A231765
Number of (1+1) X (n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
9, 33, 100, 315, 961, 3024, 9409, 29319, 91204, 284279, 885481, 2758192, 8590761, 26760591, 83356900, 259648623, 808776721, 2519272112, 7847302225, 24443615655, 76139572356, 237167776135, 738755721081, 2301155717168, 7167887098681
Offset: 1
Some solutions for n=7:
..0..0..0..0..0..1..0..0....1..0..0..0..0..1..0..0....0..1..1..0..0..1..0..0
..0..1..0..0..1..0..1..0....1..1..0..0..0..0..0..0....0..0..0..1..0..0..1..0
A231766
Number of (2+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
16, 136, 625, 2976, 15625, 84817, 440896, 2280000, 11902500, 62359187, 325513764, 1697812287, 8864034201, 46293362688, 241690224400, 1261713925692, 6587266165489, 34392457554368, 179559008401369, 937448116348715
Offset: 1
Some solutions for n=6
..0..0..0..0..1..1..0....0..0..0..1..1..0..0....0..1..1..0..0..0..1
..0..0..0..1..0..0..0....0..0..0..1..0..0..1....1..0..0..1..0..0..0
..1..1..0..0..1..0..1....1..1..0..0..1..0..0....0..0..0..0..0..0..1
A231767
Number of (3+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
Original entry on oeis.org
36, 660, 5041, 38160, 356409, 3453471, 30958096, 275036364, 2497000900, 22773363171, 206128712196, 1863472732275, 16885039757881, 153067510948440, 1386533696771344, 12557954163081200, 113765768465994225
Offset: 1
Some solutions for n=4
..1..0..0..1..0....0..0..0..0..0....0..0..1..0..0....0..1..1..1..0
..0..0..1..0..1....0..0..1..1..1....1..0..0..0..1....1..0..0..0..0
..0..0..0..0..0....1..0..0..0..0....0..1..0..0..0....0..0..1..0..0
..0..0..1..0..0....0..0..0..0..0....1..0..1..1..1....0..1..1..1..0
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