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 A298240 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 8
 1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 22, 42, 1, 1, 127, 124, 124, 127, 1, 1, 389, 409, 1156, 409, 389, 1, 1, 1192, 1921, 8117, 8117, 1921, 1192, 1, 1, 3645, 8908, 66626, 107163, 66626, 8908, 3645, 1, 1, 11161, 41933, 563826, 1636306, 1636306, 563826, 41933 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1.....1......1........1..........1.............1...............1 .1.....5.....13.......42........127...........389............1192 .1....13.....22......124........409..........1921............8908 .1....42....124.....1156.......8117.........66626..........563826 .1...127....409.....8117.....107163.......1636306........25784604 .1...389...1921....66626....1636306......45356726......1300110664 .1..1192...8908...563826...25784604....1300110664.....67668568376 .1..3645..41933..4788445..403231105...36992129471...3503621681315 .1.11161.204016.41239301.6388232748.1065292018400.183337397269876 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) k=2: a(n) = a(n-1) +5*a(n-2) +4*a(n-3) with g.f. (1-x^2-x^3)/(1-x-5*x^2-4*x^3). k=3: [order 13] for n>15 k=4: [order 47] for n>49 EXAMPLE Some solutions for n=5 k=4 ..0..0..0..1. .0..1..1..0. .0..1..1..0. .0..1..1..1. .0..0..1..1 ..0..1..0..0. .1..1..0..0. .1..1..0..0. .1..1..0..1. .1..0..1..0 ..1..1..0..1. .0..0..1..0. .1..0..1..1. .0..1..0..0. .1..1..0..0 ..1..0..0..0. .0..0..1..1. .0..0..1..0. .1..1..0..0. .1..1..0..0 ..0..0..0..1. .0..0..1..0. .0..0..0..0. .1..1..0..1. .1..1..0..0 CROSSREFS Sequence in context: A176487 A272644 A157177 * A299366 A299135 A299893 Adjacent sequences: A298237 A298238 A298239 * A298241 A298242 A298243 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 15 2018 STATUS approved

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Last modified April 16 18:00 EDT 2024. Contains 371750 sequences. (Running on oeis4.)