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 A295847 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s. 8
 1, 2, 2, 4, 11, 4, 7, 29, 29, 7, 12, 80, 104, 80, 12, 21, 261, 467, 467, 261, 21, 37, 789, 2197, 3472, 2197, 789, 37, 65, 2354, 9645, 26544, 26544, 9645, 2354, 65, 114, 7199, 43335, 190943, 333366, 190943, 43335, 7199, 114, 200, 21889, 195508, 1406191 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2......4........7.........12...........21.............37 ...2....11.....29.......80........261..........789...........2354 ...4....29....104......467.......2197.........9645..........43335 ...7....80....467.....3472......26544.......190943........1406191 ..12...261...2197....26544.....333366......3804661.......45214991 ..21...789...9645...190943....3804661.....68406015.....1296880337 ..37..2354..43335..1406191...45214991...1296880337....39611268638 ..65..7199.195508.10368395..538013975..24467737897..1200659717965 .114.21889.876170.76065766.6343699611.457692634063.36061398110075 LINKS R. H. Hardin, Table of n, a(n) for n = 1..311 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3) k=2: a(n) = 3*a(n-1) -a(n-2) +6*a(n-3) -8*a(n-4) k=3: [order 9] k=4: [order 16] k=5: [order 35] k=6: [order 73] EXAMPLE Some solutions for n=4 k=4 ..1..0..0..0. .1..1..1..0. .0..1..0..0. .0..0..1..1. .0..1..1..0 ..1..0..1..1. .0..0..0..0. .1..0..0..1. .1..0..0..0. .1..0..0..1 ..1..0..1..0. .1..1..0..1. .0..1..0..1. .1..0..0..1. .0..1..0..0 ..1..0..0..0. .0..0..0..1. .0..0..1..0. .1..0..1..1. .0..1..0..0 CROSSREFS Column 1 is A005251(n+2). Sequence in context: A196856 A196707 A196950 * A296739 A218823 A296599 Adjacent sequences:  A295844 A295845 A295846 * A295848 A295849 A295850 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 29 2017 STATUS approved

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Last modified January 23 20:47 EST 2022. Contains 350515 sequences. (Running on oeis4.)