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 A299852 T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
 1, 2, 2, 4, 8, 4, 8, 26, 26, 8, 16, 88, 93, 88, 16, 32, 298, 357, 357, 298, 32, 64, 1012, 1401, 1626, 1401, 1012, 64, 128, 3440, 5533, 7770, 7770, 5533, 3440, 128, 256, 11700, 21764, 36968, 46799, 36968, 21764, 11700, 256, 512, 39804, 85620, 175258, 276154, 276154 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2......4.......8.......16........32..........64..........128 ...2.....8.....26......88......298......1012........3440........11700 ...4....26.....93.....357.....1401......5533.......21764........85620 ...8....88....357....1626.....7770.....36968......175258.......831558 ..16...298...1401....7770....46799....276154.....1620056......9548178 ..32..1012...5533...36968...276154...2030211....14789406....108058244 ..64..3440..21764..175258..1620056..14789406...133388471...1204666013 .128.11700..85620..831558..9548178.108058244..1204666013..13452150161 .256.39804.336966.3948404.56314168.790761211.10910971094.150810121407 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) -2*a(n-2) +2*a(n-3) -6*a(n-4) -4*a(n-5) k=3: [order 16] for n>18 k=4: [order 64] for n>66 EXAMPLE Some solutions for n=5, k=4 ..0..1..0..0. .0..1..0..0. .0..0..1..0. .0..0..1..0. .0..1..1..1 ..0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1. .0..0..1..0 ..1..1..0..1. .0..1..0..1. .1..0..1..0. .1..1..0..1. .1..1..0..1 ..1..0..0..1. .0..1..1..1. .1..0..0..1. .0..1..0..1. .0..1..0..1 ..0..1..1..0. .0..0..1..0. .1..1..1..1. .0..1..0..0. .0..0..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A298189. Sequence in context: A298195 A299089 A299345 * A299008 A299675 A299753 Adjacent sequences: A299849 A299850 A299851 * A299853 A299854 A299855 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2018 STATUS approved

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Last modified March 29 17:51 EDT 2023. Contains 361599 sequences. (Running on oeis4.)