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 A297085 T(n,k)=Number of nXk 0..1 arrays with no 1 adjacent to 2 king-move neighboring 1s. 8
 2, 4, 4, 7, 12, 7, 13, 30, 30, 13, 24, 96, 136, 96, 24, 44, 286, 687, 687, 286, 44, 81, 848, 3616, 6784, 3616, 848, 81, 149, 2620, 19277, 64819, 64819, 19277, 2620, 149, 274, 7964, 105494, 654120, 1180260, 654120, 105494, 7964, 274, 504, 24332, 581688 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2.....4.......7........13...........24.............44................81 ...4....12......30........96..........286............848..............2620 ...7....30.....136.......687.........3616..........19277............105494 ..13....96.....687......6784........64819.........654120...........6743851 ..24...286....3616.....64819......1180260.......22630723.........444282892 ..44...848...19277....654120.....22630723......833228038.......31284950414 ..81..2620..105494...6743851....444282892....31284950414.....2245841563645 .149..7964..581688..69857453...8764056739..1180379285603...161959380452328 .274.24332.3225186.727765313.173651084724.44714930487805.11725115199949679 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) +a(n-2) +a(n-3) k=2: a(n) = 2*a(n-1) +4*a(n-2) +4*a(n-3) -14*a(n-4) -14*a(n-5) -4*a(n-6) k=3: [order 17] k=4: [order 34] EXAMPLE Some solutions for n=5 k=4 ..1..1..0..0. .0..0..0..1. .0..1..0..1. .0..0..1..0. .0..0..0..0 ..1..1..0..1. .0..0..0..1. .1..0..0..0. .1..1..1..1. .0..0..0..1 ..0..1..1..0. .0..0..0..0. .0..0..0..0. .0..0..1..1. .1..0..0..0 ..1..0..0..0. .0..0..0..0. .0..0..0..1. .0..1..1..1. .0..0..0..0 ..0..0..1..1. .0..0..1..1. .1..0..1..0. .1..0..1..1. .0..1..1..0 CROSSREFS Column 1 is A000073(n+3). Sequence in context: A225900 A227558 A296651 * A224158 A224409 A226870 Adjacent sequences: A297082 A297083 A297084 * A297086 A297087 A297088 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 25 2017 STATUS approved

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Last modified July 25 15:49 EDT 2024. Contains 374612 sequences. (Running on oeis4.)