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 A299142 T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
 0, 1, 1, 1, 4, 1, 2, 18, 18, 2, 3, 64, 129, 64, 3, 5, 236, 899, 899, 236, 5, 8, 888, 6205, 11179, 6205, 888, 8, 13, 3336, 43066, 143548, 143548, 43066, 3336, 13, 21, 12512, 298361, 1850266, 3426869, 1850266, 298361, 12512, 21, 34, 46928, 2068149 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ..0.....1........1..........2.............3...............5.................8 ..1.....4.......18.........64...........236.............888..............3336 ..1....18......129........899..........6205...........43066............298361 ..2....64......899......11179........143548.........1850266..........23808476 ..3...236.....6205.....143548.......3426869........81988764........1958821107 ..5...888....43066....1850266......81988764......3643124959......161617794805 ..8..3336...298361...23808476....1958821107....161617794805....13311860331263 .13.12512..2068149..306389599...46801360032...7170422794173..1096571119921011 .21.46928.14334327.3942948157.1118229413140.318133492126048.90332592148780928 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2). k=2: a(n) = 4*a(n-1) -2*a(n-2) +4*a(n-3) for n>4. k=3: [order 10] for n>11. k=4: [order 33] for n>34. EXAMPLE Some solutions for n=5, k=4 ..0..0..1..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0 ..1..0..0..1. .0..1..0..0. .1..1..1..0. .0..0..1..0. .0..1..0..1 ..0..1..0..1. .0..1..1..0. .0..0..0..1. .0..0..0..1. .1..0..1..0 ..0..1..0..0. .0..0..1..1. .0..0..1..0. .1..1..0..1. .0..1..0..1 ..0..1..1..1. .0..0..0..1. .1..1..0..0. .1..0..0..1. .1..0..0..0 CROSSREFS Column 1 is A000045(n-1). Column 2 is A231950(n-1). Sequence in context: A299465 A300108 A298280 * A299373 A299937 A299067 Adjacent sequences: A299139 A299140 A299141 * A299143 A299144 A299145 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 03 2018 STATUS approved

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Last modified June 3 18:44 EDT 2023. Contains 363116 sequences. (Running on oeis4.)