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 A299839 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
 0, 1, 1, 1, 4, 1, 2, 18, 18, 2, 3, 64, 142, 64, 3, 5, 236, 1000, 1000, 236, 5, 8, 888, 7388, 13850, 7388, 888, 8, 13, 3336, 54611, 198202, 198202, 54611, 3336, 13, 21, 12512, 402928, 2853873, 5544044, 2853873, 402928, 12512, 21, 34, 46928, 2973312 (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......142.......1000..........7388............54611.............402928 ..2....64.....1000......13850........198202..........2853873...........41026724 ..3...236.....7388.....198202.......5544044........156175241.........4390323230 ..5...888....54611....2853873.....156175241.......8606994457.......473261273932 ..8..3336...402928...41026724....4390323230.....473261273932.....50892107038125 .13.12512..2973312..589665345..123389988671...26017342950926...5471622342472717 .21.46928.21942164.8475712818.3468206088400.1430440832008036.588340577558059509 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) = 4*a(n-1) -2*a(n-2) +4*a(n-3) for n>4 k=3: [order 9] for n>10 k=4: [order 22] for n>23 k=5: [order 68] for n>69 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..0..1..0. .0..0..0..0. .0..0..0..0. .0..0..0..1 ..0..1..1..0. .0..0..1..0. .1..1..0..0. .0..1..1..0. .0..0..0..1 ..0..1..0..1. .1..1..1..1. .0..0..0..1. .1..0..0..0. .0..0..0..1 ..0..0..0..1. .0..0..0..0. .0..1..1..1. .0..1..0..0. .1..0..1..1 ..1..1..1..1. .1..1..0..0. .1..0..0..1. .1..1..1..1. .1..0..1..1 CROSSREFS Column 1 is A000045(n-1). Column 2 is A231950(n-1). Sequence in context: A299937 A299067 A299728 * A265178 A159766 A280284 Adjacent sequences: A299836 A299837 A299838 * A299840 A299841 A299842 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2018 STATUS approved

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Last modified March 21 16:33 EDT 2023. Contains 361408 sequences. (Running on oeis4.)