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 A297595 T(n,k) = Number of n X k 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 12
 1, 2, 1, 3, 5, 1, 4, 9, 9, 1, 6, 13, 25, 20, 1, 9, 33, 49, 69, 41, 1, 13, 69, 145, 154, 205, 85, 1, 19, 121, 443, 752, 577, 597, 178, 1, 28, 253, 1141, 3145, 3747, 1977, 1701, 369, 1, 41, 529, 3009, 10131, 23066, 18577, 6962, 4949, 769, 1, 60, 1013, 8455, 37929, 103673 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1...2.....3.....4.......6........9........13..........19...........28 .1...5.....9....13......33.......69.......121.........253..........529 .1...9....25....49.....145......443......1141........3009.........8455 .1..20....69...154.....752.....3145.....10131.......37929.......150388 .1..41...205...577....3747....23066....103673......514290......2834897 .1..85...597..1977...18577...163704....975485.....6551844.....50398161 .1.178..1701..6962...93150..1172288...9403199....85828150....919035936 .1.369..4949.24441..464697..8419996..90862063..1120526916..16723808887 .1.769.14389.85803.2320289.60354437.875241087.14592832760.303459238317 LINKS R. H. Hardin, Table of n, a(n) for n = 1..391 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-1) +2*a(n-2) +a(n-3) -a(n-4) k=3: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +4*a(n-4) -8*a(n-5) -8*a(n-6) k=4: [order 9] k=5: [order 22] k=6: [order 40] k=7: [order 83] Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) n=2: a(n) = a(n-1) +4*a(n-3) n=3: a(n) = a(n-1) +a(n-2) +8*a(n-3) +7*a(n-4) -8*a(n-6) -6*a(n-7) n=4: [order 12] n=5: [order 26] n=6: [order 49] EXAMPLE Some solutions for n=6 k=4 ..0..0..0..0. .0..1..0..0. .1..0..0..0. .1..0..0..0. .0..0..1..0 ..0..1..1..0. .0..0..1..0. .0..1..0..0. .0..1..0..0. .0..1..0..0 ..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0 ..0..1..0..1. .0..0..1..1. .1..0..0..0. .0..0..0..0. .0..0..0..0 ..0..1..1..1. .0..0..0..0. .1..0..0..0. .0..0..0..0. .1..0..0..0 ..0..0..0..1. .1..1..0..0. .0..1..0..0. .0..0..0..0. .0..1..0..0 CROSSREFS Column 2 is A105309(n+1). Row 1 is A000930(n+1). Row 2 is A089977(n+1). Sequence in context: A188211 A175009 A297395 * A049069 A030237 A210557 Adjacent sequences:  A297592 A297593 A297594 * A297596 A297597 A297598 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 01 2018 STATUS approved

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Last modified September 22 07:34 EDT 2020. Contains 337289 sequences. (Running on oeis4.)