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 A317565 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
 1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 228, 128, 16, 32, 512, 1619, 1619, 512, 32, 64, 2048, 11510, 20312, 11510, 2048, 64, 128, 8192, 81814, 255788, 255788, 81814, 8192, 128, 256, 32768, 581541, 3218063, 5721314, 3218063, 581541, 32768, 256, 512, 131072 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1......2........4..........8............16..............32................64 ...2......8.......32........128...........512............2048..............8192 ...4.....32......228.......1619.........11510...........81814............581541 ...8....128.....1619......20312........255788.........3218063..........40491721 ..16....512....11510.....255788.......5721314.......127754533........2853437287 ..32...2048....81814....3218063.....127754533......5059110002......200422637482 ..64...8192...581541...40491721....2853437287....200422637482....14085130453968 .128..32768..4133710..509501103...63734296219...7940287015341...989910863217269 .256.131072.29383111.6410860875.1423516915862.314559200160931.69566536617221409 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 4*a(n-1) k=3: a(n) = 6*a(n-1) +11*a(n-2) -11*a(n-3) -72*a(n-4) -54*a(n-5) for n>6 k=4: [order 17] for n>18 k=5: [order 62] for n>63 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..0..1..0. .0..0..0..0. .0..0..1..0. .0..0..0..0 ..0..1..0..1. .1..1..1..0. .0..0..0..1. .1..0..0..1. .0..1..1..1 ..0..1..1..0. .0..0..1..0. .0..1..0..1. .0..1..0..0. .0..1..1..1 ..1..1..1..0. .1..1..1..1. .0..0..0..1. .0..0..0..0. .0..0..1..1 ..1..1..0..1. .1..1..0..1. .0..0..1..0. .0..1..1..0. .0..0..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A004171(n-1). Sequence in context: A316815 A299661 A320371 * A302741 A300215 A300804 Adjacent sequences:  A317562 A317563 A317564 * A317566 A317567 A317568 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 31 2018 STATUS approved

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)