A231581
Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
Original entry on oeis.org
4, 28, 124, 602, 2776, 12922, 60720, 286047, 1335296, 6256326, 29377828, 137595239, 644951590, 3024402309, 14175895645, 66459189937, 311583082104, 1460702584712, 6848241858778, 32106603868468, 150524267596760, 705711781367756
Offset: 1
Some solutions for n=7
..0..0....3..0....2..1....0..3....2..0....2..3....2..2....1..1....3..3....0..0
..0..2....0..0....1..1....0..0....0..0....2..2....0..0....2..1....0..0....0..1
..1..0....0..0....0..0....0..1....1..0....3..2....0..0....1..2....0..0....0..0
..0..0....0..2....0..0....0..2....0..0....1..1....1..3....0..0....0..3....3..0
..2..0....0..1....0..2....0..0....0..1....1..1....0..0....0..0....0..0....0..1
..2..0....0..0....2..0....0..0....0..0....1..1....0..0....0..0....3..0....0..0
..0..0....0..0....0..0....2..0....3..0....2..1....2..3....0..2....0..0....0..3
-
rec:= a(n) = 4*a(n-1) +6*a(n-2) +38*a(n-3) -161*a(n-4) -292*a(n-5) -953*a(n-6) +1185*a(n-7) +4928*a(n-8) +12336*a(n-9) +7076*a(n-10) -7076*a(n-11) -24464*a(n-12) -24608*a(n-13) -18624*a(n-14) -6720*a(n-15) -2304*a(n-16):
Data := [4, 28, 124, 602, 2776, 12922, 60720, 286047, 1335296, 6256326, 29377828, 137595239, 644951590, 3024402309, 14175895645, 66459189937]:
f:= gfun:-rectoproc({rec,seq(a(i)=Data[i],i=1..16)},a(n),remember):
map(f, [$1..40]); # Robert Israel, Dec 06 2017
A231582
Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
Original entry on oeis.org
16, 124, 2352, 32650, 381076, 5618444, 82479418, 1142396851, 16061107556, 231334122108, 3304782498636, 47013530431780, 672506204379038, 9632530214937964, 137769361857359282, 1971267194035271726
Offset: 1
Some solutions for n=4
..1..0..0....3..0..1....1..0..3....0..2..3....2..2..1....2..3..1....1..1..1
..0..0..3....0..0..0....0..0..0....0..0..2....1..0..0....2..1..1....2..1..1
..0..3..0....0..0..0....3..0..1....0..0..3....0..0..0....0..0..3....3..1..1
..2..0..0....3..3..3....0..0..0....0..1..2....0..3..0....0..0..0....2..1..1
A231583
Number of n X 4 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
Original entry on oeis.org
50, 602, 32650, 1245468, 38768838, 1453028265, 57099276134, 2144257250786, 79701582158514, 3015862229160377, 114494956350056953, 4326283671422314077, 163427418245733870700, 6184201660416852021556, 234047826007984885375504
Offset: 1
Some solutions for n=3
..1..0..1..1....2..0..0..0....1..0..0..0....1..1..2..2....0..0..0..2
..0..0..0..3....0..2..0..0....0..0..0..2....1..1..1..1....3..0..0..0
..0..0..0..0....0..0..0..1....1..0..1..3....3..3..1..1....2..1..0..3
A231584
Number of nX5 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
Original entry on oeis.org
144, 2776, 381076, 38768838, 2912579313, 260228939106, 24813120747919, 2275463989704521, 205616812796559119, 18796952266641265062, 1725445840621150550236, 157941351701793475474726
Offset: 1
Some solutions for n=2
..0..0..0..0..0....0..0..0..0..2....0..0..1..1..1....3..0..0..0..2
..2..0..0..2..0....0..3..0..0..3....0..0..3..1..1....0..0..0..0..2
A231585
Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.
Original entry on oeis.org
422, 12922, 5618444, 1453028265, 260228939106, 63676872069694, 16297132727558385, 3833026928529265733, 899070341715148291141, 216695260231841309307295, 52101389603112220215510578
Offset: 1
Some solutions for n=2
..1..0..0..0..0..3....2..0..0..0..0..0....0..0..2..1..1..2....3..0..0..3..1..1
..0..0..1..0..0..3....0..0..1..2..0..0....0..0..1..1..1..2....2..0..0..1..1..1
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