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 A317823 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 8
 0, 1, 1, 1, 5, 1, 2, 16, 16, 2, 3, 50, 35, 50, 3, 5, 160, 135, 135, 160, 5, 8, 511, 356, 702, 356, 511, 8, 13, 1634, 1113, 2726, 2726, 1113, 1634, 13, 21, 5226, 3150, 11768, 8556, 11768, 3150, 5226, 21, 34, 16716, 9484, 48526, 47374, 47374, 48526, 9484, 16716, 34 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ..0.....1.....1......2.......3........5.........8.........13..........21 ..1.....5....16.....50.....160......511......1634.......5226.......16716 ..1....16....35....135.....356.....1113......3150.......9484.......27522 ..2....50...135....702....2726....11768.....48526.....203049......846901 ..3...160...356...2726....8556....47374....179111.....878802.....3604079 ..5...511..1113..11768...47374...296968...1458418....8231398....43470698 ..8..1634..3150..48526..179111..1458418...7370716...49813114...285365386 .13..5226..9484.203049..878802..8231398..49813114..384248160..2679172247 .21.16716.27522.846901.3604079.43470698.285365386.2679172247.21424520640 LINKS R. H. Hardin, Table of n, a(n) for n = 1..363 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 3*a(n-1) +a(n-2) -3*a(n-4) -2*a(n-5) -a(n-6) k=3: [order 16] for n>18 k=4: [order 37] for n>43 k=5: [order 94] for n>99 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..0..1..1. .0..1..1..0. .0..0..1..0. .0..1..1..0 ..0..1..1..0. .1..1..1..0. .1..0..0..1. .1..1..1..1. .0..1..1..1 ..1..1..1..0. .0..1..1..0. .0..0..0..1. .1..1..1..0. .0..1..1..0 ..0..1..1..0. .0..1..0..1. .1..0..1..1. .0..1..1..0. .0..1..1..0 ..0..1..0..1. .1..0..0..1. .1..0..1..0. .0..1..1..0. .0..1..1..0 CROSSREFS Column 1 is A000045(n-1). Sequence in context: A085608 A258339 A197080 * A318430 A318098 A318068 Adjacent sequences: A317820 A317821 A317822 * A317824 A317825 A317826 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Aug 07 2018 STATUS approved

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Last modified October 4 19:37 EDT 2023. Contains 365888 sequences. (Running on oeis4.)