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 A297733 T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. 13
 1, 1, 1, 1, 2, 1, 1, 8, 3, 1, 1, 15, 17, 4, 1, 1, 32, 34, 39, 6, 1, 1, 61, 92, 93, 151, 9, 1, 1, 145, 223, 362, 502, 385, 13, 1, 1, 297, 700, 1103, 2719, 1443, 1026, 19, 1, 1, 658, 1747, 4795, 11341, 11171, 4676, 3272, 28, 1, 1, 1352, 4931, 15646, 82549, 65215, 53173, 19601 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1..1....1.....1.......1........1.........1...........1............1 .1..2....8....15......32.......61.......145.........297..........658 .1..3...17....34......92......223.......700........1747.........4931 .1..4...39....93.....362.....1103......4795.......15646........61063 .1..6..151...502....2719....11341.....82549......396787......2346541 .1..9..385..1443...11171....65215....673171.....4414693.....36515720 .1.13.1026..4676...53173...414651...6241242....56834907....675663465 .1.19.3272.19601..304157..3199929..74469526...959915987..16537401517 .1.28.8945.62749.1417699.21221319.718454750.13045679082.322119198752 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-1) +a(n-3) k=3: a(n) = a(n-1) +a(n-2) +13*a(n-3) -2*a(n-4) +4*a(n-5) -11*a(n-6) -3*a(n-7) -a(n-8) k=4: [order 19] k=5: [order 35] Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 2*a(n-1) +a(n-2) -3*a(n-3) +6*a(n-4) -6*a(n-5) n=3: [order 9] n=4: [order 27] n=5: [order 80] EXAMPLE Some solutions for n=6 k=4 ..0..0..0..0. .0..1..1..1. .0..0..0..0. .0..0..1..0. .0..0..1..1 ..0..0..0..0. .0..0..1..0. .0..0..1..1. .0..1..0..1. .0..0..1..1 ..0..0..1..1. .0..1..1..1. .0..1..1..0. .0..0..1..1. .0..0..0..0 ..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..1..0. .0..0..0..0 ..0..1..0..1. .0..0..1..1. .0..1..1..0. .0..0..0..0. .0..0..1..1 ..0..0..1..0. .0..0..1..1. .1..1..0..0. .0..0..0..0. .0..1..1..0 CROSSREFS Column 2 is A000930(n+1). Sequence in context: A119418 A077058 A053373 * A255812 A249141 A353953 Adjacent sequences: A297730 A297731 A297732 * A297734 A297735 A297736 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 04 2018 STATUS approved

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Last modified November 29 09:17 EST 2023. Contains 367429 sequences. (Running on oeis4.)