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 A295918 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0 or 3 king-move neighboring 1s. 7
 2, 3, 3, 5, 6, 5, 8, 13, 13, 8, 13, 28, 39, 28, 13, 21, 60, 115, 115, 60, 21, 34, 129, 337, 467, 337, 129, 34, 55, 277, 993, 1880, 1880, 993, 277, 55, 89, 595, 2919, 7604, 10290, 7604, 2919, 595, 89, 144, 1278, 8587, 30721, 56955, 56955, 30721, 8587, 1278, 144, 233 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....3.....5......8......13........21.........34..........55............89 ..3....6....13.....28......60.......129........277.........595..........1278 ..5...13....39....115.....337.......993.......2919........8587.........25257 ..8...28...115....467....1880......7604......30721......124117........501512 .13...60...337...1880...10290.....56955.....314044.....1732883.......9562608 .21..129...993...7604...56955....431844....3261576....24650278.....186318117 .34..277..2919..30721..314044...3261576...33703065...348555744....3605337986 .55..595..8587.124117.1732883..24650278..348555744..4933593439...69844332764 .89.1278.25257.501512.9562608.186318117.3605337986.69844332764.1353357158724 LINKS R. H. Hardin, Table of n, a(n) for n = 1..311 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = a(n-1) +2*a(n-2) +a(n-3) k=3: a(n) = 2*a(n-1) +3*a(n-2) -2*a(n-4) k=4: a(n) = 2*a(n-1) +7*a(n-2) +6*a(n-3) -3*a(n-4) -4*a(n-5) +a(n-6) k=5: [order 38] k=6: [order 92] EXAMPLE Some solutions for n=5 k=4 ..0..0..0..1. .0..0..1..0. .0..0..1..0. .0..0..0..0. .0..1..0..0 ..1..0..0..0. .1..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..1 ..0..0..0..1. .0..0..1..0. .1..0..0..1. .0..1..0..1. .1..0..0..0 ..0..0..0..0. .1..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0 ..1..0..0..0. .0..0..0..1. .1..0..0..0. .0..0..0..0. .0..0..0..0 CROSSREFS Column 1 is A000045(n+2). Column 2 is A002478(n+1). Sequence in context: A064464 A094585 A183322 * A296834 A242642 A178041 Adjacent sequences:  A295915 A295916 A295917 * A295919 A295920 A295921 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 29 2017 STATUS approved

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)