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 A296674 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 2 or 3 king-move neighboring 1s. 8
 2, 3, 3, 5, 10, 5, 8, 25, 25, 8, 13, 68, 82, 68, 13, 21, 208, 334, 334, 208, 21, 34, 609, 1451, 2295, 1451, 609, 34, 55, 1785, 5938, 16541, 16541, 5938, 1785, 55, 89, 5375, 25144, 110036, 213800, 110036, 25144, 5375, 89, 144, 16174, 108174, 775010, 2358963 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 3*a(n-1) +5*a(n-3) -10*a(n-4) -12*a(n-5) -4*a(n-6) k=3: [order 12] k=4: [order 27] k=5: [order 67] EXAMPLE Table starts ..2.....3......5........8.........13...........21.............34 ..3....10.....25.......68........208..........609...........1785 ..5....25.....82......334.......1451.........5938..........25144 ..8....68....334.....2295......16541.......110036.........775010 .13...208...1451....16541.....213800......2358963.......28341757 .21...609...5938...110036....2358963.....40937523......794602323 .34..1785..25144...775010...28341757....794602323....25499216805 .55..5375.108174..5466936..346828018..15702927104...833656369935 .89.16174.463106.38297415.4150012532.301022037125.26222808591554 ... Some solutions for n=4 k=4 ..1..1..1..0. .0..0..0..0. .0..1..1..0. .0..1..0..0. .0..0..1..1 ..1..0..0..1. .1..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..0..1 ..1..0..1..0. .0..0..0..0. .0..0..0..0. .1..0..0..1. .1..1..1..0 ..1..1..0..0. .1..0..0..1. .1..0..0..1. .1..1..0..0. .1..0..0..0 CROSSREFS Column 1 is A000045(n+2). Sequence in context: A175147 A001180 A228778 * A297073 A019460 A329057 Adjacent sequences:  A296671 A296672 A296673 * A296675 A296676 A296677 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 18 2017 STATUS approved

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Last modified May 27 11:47 EDT 2022. Contains 354097 sequences. (Running on oeis4.)