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 A281034 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 7
 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 12, 96, 12, 0, 0, 58, 532, 532, 58, 0, 0, 252, 2321, 2324, 2321, 252, 0, 0, 1048, 8886, 9854, 9854, 8886, 1048, 0, 0, 4204, 31700, 38972, 44395, 38972, 31700, 4204, 0, 0, 16454, 108034, 146606, 184290, 184290, 146606, 108034, 16454, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts .0.....0.......0.......0........0.........0.........0..........0..........0 .0.....0.......2......12.......58.......252......1048.......4204......16454 .0.....2......96.....532.....2321......8886.....31700.....108034.....357542 .0....12.....532....2324.....9854.....38972....146606.....533340....1896352 .0....58....2321....9854....44395....184290....722952....2696692....9734320 .0...252....8886...38972...184290....770788...3042556...11471132...41949794 .0..1048...31700..146606...722952...3042556..12164474...46511454..172759149 .0..4204..108034..533340..2696692..11471132..46511454..180119924..677915790 .0.16454..357542.1896352..9734320..41949794.172759149..677915790.2586759715 .0.63236.1158596.6625144.34378916.150344672.628675456.2501817200.9677601094 LINKS R. H. Hardin, Table of n, a(n) for n = 1..241 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [order 10] k=3: [order 18] for n>21 k=4: [order 36] for n>41 k=5: [order 98] for n>109 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..1. .0..0..0..0. .0..0..0..1. .0..1..1..0. .0..0..1..1 ..0..1..0..1. .1..1..1..1. .0..1..0..0. .1..1..0..1. .1..0..0..1 ..0..0..0..1. .0..1..0..0. .0..1..1..1. .0..0..0..1. .1..1..1..0 ..0..1..0..1. .0..1..0..0. .1..0..0..0. .0..1..1..0. .1..0..0..0 CROSSREFS Sequence in context: A352661 A283494 A353254 * A282441 A281988 A190389 Adjacent sequences: A281031 A281032 A281033 * A281035 A281036 A281037 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 13 2017 STATUS approved

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Last modified July 13 23:31 EDT 2024. Contains 374290 sequences. (Running on oeis4.)