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 A298501 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 7
 1, 2, 2, 3, 4, 3, 5, 3, 3, 5, 8, 13, 1, 13, 8, 13, 34, 4, 4, 34, 13, 21, 73, 5, 38, 5, 73, 21, 34, 203, 6, 54, 54, 6, 203, 34, 55, 594, 20, 97, 281, 97, 20, 594, 55, 89, 1443, 35, 467, 403, 403, 467, 35, 1443, 89, 144, 4013, 70, 1105, 2353, 277, 2353, 1105, 70, 4013, 144, 233 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1....2..3....5.....8....13.....21......34.......55........89........144 ..2....4..3...13....34....73....203.....594.....1443......4013......11114 ..3....3..1....4.....5.....6.....20......35.......70.......174........365 ..5...13..4...38....54....97....467....1105.....3354.....12283......37107 ..8...34..5...54...281...403...2353...12942....43319....219059....1139692 .13...73..6...97...403...277...1602....6037....19001.....93205.....385257 .21..203.20..467..2353..1602..24272..118439...372820...3857775...22638601 .34..594.35.1105.12942..6037.118439.1377101..4336887..60191437..664833900 .55.1443.70.3354.43319.19001.372820.4336887.10659243.151971896.1550220630 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) k=2: a(n) = a(n-1) +3*a(n-2) +8*a(n-3) -4*a(n-4) -16*a(n-5) for n>6 k=3: [order 15] for n>16 k=4: [order 51] for n>54 EXAMPLE Some solutions for n=6 k=4 ..0..1..0..1. .0..0..0..0. .0..1..1..1. .0..0..1..1. .0..0..0..1 ..1..0..0..0. .0..0..1..1. .1..1..0..0. .0..0..1..1. .1..1..0..0 ..1..1..0..1. .1..1..1..1. .0..1..0..0. .1..0..1..0. .1..1..1..0 ..1..1..0..1. .0..0..0..0. .0..1..0..1. .1..0..1..1. .0..0..0..1 ..0..0..0..0. .0..0..1..1. .1..1..0..0. .0..0..1..0. .0..0..1..1 ..1..1..0..1. .1..1..1..1. .1..1..0..0. .1..0..0..1. .1..1..1..0 CROSSREFS Column 1 is A000045(n+1). Column 2 is A297901. Sequence in context: A047675 A187199 A297907 * A298320 A299393 A299194 Adjacent sequences:  A298498 A298499 A298500 * A298502 A298503 A298504 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 20 2018 STATUS approved

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Last modified January 27 10:50 EST 2021. Contains 340465 sequences. (Running on oeis4.)