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 A299307 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 6
 0, 1, 1, 1, 4, 1, 2, 18, 18, 2, 3, 52, 56, 52, 3, 5, 174, 223, 223, 174, 5, 8, 604, 849, 1024, 849, 604, 8, 13, 2048, 3387, 5360, 5360, 3387, 2048, 13, 21, 6948, 13075, 28374, 55390, 28374, 13075, 6948, 21, 34, 23652, 51006, 144040, 482418, 482418, 144040, 51006 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ..0.....1......1.......2.........3...........5............8.............13 ..1.....4.....18......52.......174.........604.........2048...........6948 ..1....18.....56.....223.......849........3387........13075..........51006 ..2....52....223....1024......5360.......28374.......144040.........743640 ..3...174....849....5360.....55390......482418......3860858.......34734150 ..5...604...3387...28374....482418.....6525374.....76611604.....1041660250 ..8..2048..13075..144040...3860858....76611604...1227812226....23819382545 .13..6948..51006..743640..34734150..1041660250..23819382545...723886147451 .21.23652.199243.3857242.308990628.14216373088.471369052777.22415064379413 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) +2*a(n-3) -6*a(n-4) -4*a(n-5) for n>6 k=3: [order 20] for n>21 k=4: [order 68] for n>70 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..1..0..0. .0..1..0..1. .0..1..1..1. .0..0..1..0 ..1..0..1..0. .0..1..0..1. .0..1..1..0. .1..0..0..1. .1..1..0..1 ..1..1..0..0. .0..1..0..1. .0..1..0..1. .0..1..1..0. .1..1..1..1 ..0..1..1..1. .0..1..0..1. .0..0..0..1. .1..0..0..1. .1..1..1..0 ..0..1..1..1. .1..1..0..0. .0..1..1..1. .1..1..0..1. .0..0..1..0 CROSSREFS Column 1 is A000045(n-1). Column 2 is A297945. Column 3 is A298384. Sequence in context: A297951 A298560 A298389 * A298770 A299567 A299465 Adjacent sequences: A299304 A299305 A299306 * A299308 A299309 A299310 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 06 2018 STATUS approved

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Last modified March 26 16:53 EDT 2023. Contains 361550 sequences. (Running on oeis4.)