A231970
Number of (n+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
9, 56, 841, 43983, 6507601, 2641967397, 3036560660329, 9981109155098235, 93538123901225727364, 2480246214908598898309094, 186787722909431013956841219409, 39975590681225962593258073864460074
Offset: 1
Some solutions for n=2
..1..0..0....0..0..0....0..0..1....0..0..1....1..0..0....0..0..0....0..1..0
..0..0..0....1..1..1....1..0..0....1..0..1....1..0..0....0..0..0....0..0..0
..0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..1..1....0..0..1
A231971
Number of (n+1) X (2+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
16, 56, 169, 550, 1764, 5680, 18225, 58596, 188356, 605458, 1946025, 6255180, 20106256, 64627982, 207734569, 667725402, 2146283584, 6898841796, 22175081569, 71277802674, 229109651716, 736431677100, 2367126871209, 7608702637640
Offset: 1
Some solutions for n=2:
..0..0..1....1..0..0....0..0..0....0..0..1....0..0..0....0..0..0....0..0..1
..1..0..0....0..0..1....1..0..1....0..0..0....0..0..0....0..1..0....1..0..0
..0..0..0....0..0..0....1..0..0....0..0..0....0..0..0....0..0..0....1..0..0
A231972
Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
36, 169, 841, 4489, 24964, 136900, 741321, 4024036, 21911761, 119268241, 648771841, 3529072836, 19199427844, 104453715249, 568259668900, 3091481744121, 16818570092025, 91498158928089, 497777418977476
Offset: 1
Some solutions for n=2
..0..0..0..0....0..0..1..1....1..0..0..0....0..0..0..0....0..1..1..0
..1..0..0..0....0..0..0..0....0..0..1..0....1..0..1..0....0..0..0..0
..0..0..1..1....1..1..0..0....0..0..0..0....0..0..1..0....1..1..0..0
A231973
Number of (n+1)X(4+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
81, 550, 4489, 43983, 417316, 3844551, 35366809, 328433132, 3052452001, 28290095075, 262170624676, 2431326125085, 22547805893209, 209069115157116, 1938539544264801, 17975390997067603, 166679573715753604
Offset: 1
Some solutions for n=2
..1..0..0..0..1....0..0..0..0..1....0..0..0..1..0....0..0..0..0..1
..0..0..1..0..0....1..0..0..0..0....1..0..0..0..0....1..0..0..0..0
..0..0..1..0..0....0..0..0..1..0....1..0..0..0..0....0..0..1..1..0
A231974
Number of (n+1)X(5+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
169, 1764, 24964, 417316, 6507601, 100540729, 1557328369, 24225988609, 376708702756, 5849616285604, 90862303037584, 1411766023575625, 21933150300008704, 340734844103850729, 5293483573712466276
Offset: 1
Some solutions for n=2
..1..0..0..0..0..1....0..1..1..0..0..0....1..0..0..0..0..0....0..0..0..0..0..0
..1..0..1..0..0..0....0..0..0..0..1..1....0..0..1..0..0..1....1..1..1..1..0..1
..0..0..1..0..0..0....0..1..0..0..0..0....0..0..1..0..0..0....0..0..0..0..0..0
A231975
Number of (n+1)X(6+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
361, 5680, 136900, 3844551, 100540729, 2641967397, 69043343121, 1809552010404, 47496507516441, 1245162776547248, 32641634807741521, 855866713526323797, 22440792778234532100, 588379143180098326896, 15426782848212128167009
Offset: 1
Some solutions for n=2
..0..1..0..0..1..0..0....0..0..0..1..0..0..0....1..0..0..0..0..1..0
..0..1..0..0..0..0..0....1..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..0..0..1..1..0..0....0..0..1..0..0..0..1....0..1..0..0..1..1..0
A231976
Number of (n+1)X(7+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one.
Original entry on oeis.org
784, 18225, 741321, 35366809, 1557328369, 69043343121, 3036560660329, 134086441384900, 5933816403750361, 262150807596195904, 11579543313397076809, 511643156104631950569, 22607722308771420398449
Offset: 1
Some solutions for n=2
..0..0..0..0..1..0..0..0....0..0..0..0..1..0..0..0....1..0..0..0..1..0..0..0
..1..1..0..0..1..0..0..1....0..0..0..0..1..0..1..0....0..0..0..0..1..0..0..0
..0..0..0..0..0..0..0..0....0..0..1..0..0..0..0..0....0..1..1..0..0..0..0..1
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