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 A298133 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 7
 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 5, 4, 5, 0, 0, 10, 13, 13, 10, 0, 0, 25, 62, 15, 62, 25, 0, 0, 54, 223, 233, 233, 223, 54, 0, 0, 125, 826, 1055, 2621, 1055, 826, 125, 0, 0, 282, 3200, 5782, 21537, 21537, 5782, 3200, 282, 0, 0, 641, 12098, 36225, 175014, 285084, 175014 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts .0...0.....0......0........0.........0...........0.............0..............0 .0...1.....2......5.......10........25..........54...........125............282 .0...2.....4.....13.......62.......223.........826..........3200..........12098 .0...5....13.....15......233......1055........5782.........36225.........205348 .0..10....62....233.....2621.....21537......175014.......1557284.......13225388 .0..25...223...1055....21537....285084.....3752401......52922003......714854991 .0..54...826...5782...175014...3752401....76791444....1706951987....36185741209 .0.125..3200..36225..1557284..52922003..1706951987...58599163176..1933759163417 .0.282.12098.205348.13225388.714854991.36185741209.1933759163417.99650656591710 LINKS R. H. Hardin, Table of n, a(n) for n = 1..197 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 3*a(n-2) +4*a(n-3) +2*a(n-4) k=3: [order 18] k=4: [order 53] for n>56 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0 ..1..0..0..1. .1..0..0..1. .0..1..1..0. .0..1..1..0. .1..0..0..1 ..1..1..1..1. .1..1..0..1. .1..1..0..0. .1..0..1..1. .1..1..1..1 ..1..0..0..1. .1..0..1..1. .0..1..0..1. .1..0..0..1. .1..0..0..1 ..0..0..0..0. .0..0..0..1. .0..0..1..1. .1..1..0..0. .0..0..0..0 CROSSREFS Column 2 is A297860. Sequence in context: A330619 A245693 A297866 * A298070 A298719 A296148 Adjacent sequences:  A298130 A298131 A298132 * A298134 A298135 A298136 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 13 2018 STATUS approved

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Last modified September 18 07:34 EDT 2021. Contains 347510 sequences. (Running on oeis4.)