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 A296115 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3 or 4 king-move neighboring 1s. 8
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 8, 9, 9, 8, 1, 1, 17, 26, 16, 26, 17, 1, 1, 31, 74, 64, 64, 74, 31, 1, 1, 71, 163, 185, 503, 185, 163, 71, 1, 1, 166, 535, 528, 2800, 2800, 528, 535, 166, 1, 1, 365, 1735, 2109, 14057, 29003, 14057, 2109, 1735, 365, 1, 1, 856, 4960 (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....3....4......8.......17........31..........71...........166 .1...3....6....9.....26.......74.......163.........535..........1735 .1...4....9...16.....64......185.......528........2109..........7336 .1...8...26...64....503.....2800.....14057......106920........726414 .1..17...74..185...2800....29003....197661.....2401049......28504534 .1..31..163..528..14057...197661...1993970....34228975.....553395326 .1..71..535.2109.106920..2401049..34228975..1061506422...28707285600 .1.166.1735.7336.726414.28504534.553395326.28707285600.1365762093736 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) -2*a(n-4) -6*a(n-5) -4*a(n-6) k=3: [order 11] k=4: [order 27] k=5: [order 89] EXAMPLE Some solutions for n=6 k=4 ..0..1..1..0. .0..1..1..0. .0..1..0..0. .0..0..0..0. .0..0..1..0 ..0..1..1..0. .0..1..1..0. .1..1..1..0. .0..1..1..0. .0..1..1..1 ..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..1..1..0. .0..0..1..0 ..1..1..0..0. .0..1..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..1 ..1..1..0..0. .1..1..1..0. .0..0..1..1. .0..1..1..0. .0..0..1..1 ..0..0..0..0. .0..1..0..0. .0..0..0..0. .0..1..1..0. .0..0..1..1 CROSSREFS Sequence in context: A034328 A034253 A203952 * A118687 A281587 A026022 Adjacent sequences: A296112 A296113 A296114 * A296116 A296117 A296118 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 04 2017 STATUS approved

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Last modified August 13 04:16 EDT 2024. Contains 375113 sequences. (Running on oeis4.)