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 A297802 T(n,k) = Number of n X k 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1's. 12
 1, 1, 1, 1, 2, 1, 1, 11, 4, 1, 1, 24, 37, 7, 1, 1, 38, 100, 108, 14, 1, 1, 105, 293, 422, 533, 31, 1, 1, 381, 1320, 2195, 2936, 2434, 69, 1, 1, 1067, 6215, 16006, 23781, 17899, 10287, 155, 1, 1, 2676, 24879, 115773, 320168, 231921, 104985, 45968, 354, 1, 1, 7533, 99567 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1...1......1.......1.........1...........1.............1...............1 .1...2.....11......24........38.........105...........381............1067 .1...4.....37.....100.......293........1320..........6215...........24879 .1...7....108.....422......2195.......16006........115773..........738989 .1..14....533....2936.....23781......320168.......4340367........46828204 .1..31...2434...17899....231921.....5511367.....123361724......2122878239 .1..69..10287..104985...2174696....91376524....3420197908.....94927605755 .1.155..45968..645568..21427001..1587468720..102189481612...4611250894511 .1.354.207906.3978117.209042911.27421636815.2993486726263.218072722004943 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1), k=2: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) -2*a(n-4) -a(n-5), k=3: [order 15], k=4: [order 37], k=5: [order 95]. Empirical for row n: n=1: a(n) = a(n-1), n=2: a(n) = 3*a(n-1) -2*a(n-2) +5*a(n-3) +6*a(n-4) -16*a(n-5) -12*a(n-6), n=3: [order 21], n=4: [order 55]. EXAMPLE Some solutions for n=5, k=4 ..0..1..1..1. .0..0..0..0. .0..1..1..1. .0..1..0..0. .0..1..1..0 ..0..1..1..0. .0..1..1..1. .0..0..1..1. .1..1..1..0. .0..1..1..1 ..0..0..1..0. .0..0..1..1. .1..1..0..1. .0..0..0..1. .0..1..1..1 ..1..1..0..0. .0..1..1..1. .0..1..1..1. .0..1..1..0. .1..1..0..0 ..1..1..0..0. .0..0..1..0. .0..1..1..0. .1..1..0..0. .0..0..0..0 CROSSREFS Column 2 is A202973. Row 2 is A297545. Sequence in context: A110905 A205447 A297544 * A232266 A234013 A158202 Adjacent sequences: A297799 A297800 A297801 * A297803 A297804 A297805 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 06 2018 STATUS approved

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Last modified December 2 20:36 EST 2023. Contains 367526 sequences. (Running on oeis4.)