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 A283691 T(n,k) = Number of n X k 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. 13
 2, 4, 4, 8, 16, 8, 16, 49, 57, 16, 32, 161, 264, 209, 32, 64, 548, 1521, 1525, 768, 64, 128, 1824, 8687, 15226, 8732, 2816, 128, 256, 6081, 47829, 149840, 150497, 49924, 10329, 256, 512, 20353, 268285, 1392868, 2530461, 1489917, 285770, 37889, 512, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2......4.......8.........16...........32.............64..............128 ...4.....16......49........161..........548...........1824.............6081 ...8.....57.....264.......1521.........8687..........47829...........268285 ..16....209....1525......15226.......149840........1392868.........13354587 ..32....768....8732.....150497......2530461.......39372084........640543058 ..64...2816...49924....1489917.....42865601.....1119189256......30968693109 .128..10329..285770...14754038....726353972....31815868749....1496646288297 .256..37889.1635402..146079023..12304063774...904083654190...72299799564414 .512.138980.9359104.1446386879.208447516852.25694926726796.3493423029563345 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1). k=2: a(n) = 3*a(n-1) +2*a(n-2) +2*a(n-3) -a(n-4) -a(n-5). k=3: [order 10]. k=4: [order 14]. k=5: [order 40]. k=6: [order 83]. Empirical for row n: n=1: a(n) = 2*a(n-1). n=2: a(n) = 3*a(n-1) +a(n-2) +3*a(n-3) -6*a(n-4) -8*a(n-5). n=3: [order 11]. n=4: [order 23]. n=5: [order 56]. EXAMPLE Some solutions for n=4, k=4 ..1..0..1..1. .1..0..0..0. .0..0..1..0. .0..0..0..1. .1..0..1..0 ..0..0..0..0. .1..0..1..0. .0..0..0..1. .0..0..0..0. .1..0..0..0 ..1..1..0..1. .0..1..0..0. .0..0..0..1. .0..1..1..0. .0..0..0..1 ..1..0..0..1. .0..1..0..1. .1..0..0..1. .1..0..0..0. .0..0..0..1 CROSSREFS Column 1 is A000079. Column 2 is A283124. Row 1 is A000079. Sequence in context: A189343 A189779 A262338 * A283130 A295716 A282399 Adjacent sequences: A283688 A283689 A283690 * A283692 A283693 A283694 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 14 2017 STATUS approved

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Last modified February 6 13:33 EST 2023. Contains 360110 sequences. (Running on oeis4.)