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 A303254 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 10
 0, 1, 0, 1, 3, 0, 2, 14, 11, 0, 3, 45, 49, 34, 0, 5, 146, 203, 250, 111, 0, 8, 537, 955, 1401, 1183, 361, 0, 13, 1934, 4556, 10264, 8664, 5918, 1172, 0, 21, 6861, 21843, 78679, 106803, 55624, 28680, 3809, 0, 34, 24386, 103319, 584333, 1218385, 1105676, 349273 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0.....1......1........2..........3...........5.............8..............13 .0.....3.....14.......45........146.........537..........1934............6861 .0....11.....49......203........955........4556.........21843..........103319 .0....34....250.....1401......10264.......78679........584333.........4330427 .0...111...1183.....8664.....106803.....1218385......13529019.......153269484 .0...361...5918....55624....1105676....19457754.....322544617......5622650429 .0..1172..28680...349273...11394429...306224454....7600681910....204093228252 .0..3809.141255..2229806..118856245..4895684572..181926316054...7516309079483 .0.12377.691968.14141138.1230109648.77683246701.4319287740641.274539947294004 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) = 3*a(n-1) +a(n-2) -2*a(n-4) k=3: [order 14] k=4: [order 43] for n>44 Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) n=2: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) +10*a(n-4) +4*a(n-5) for n>6 n=3: [order 19] for n>21 n=4: [order 63] for n>66 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..1..0..0. .0..1..0..0. .0..0..1..1. .0..0..1..0 ..1..1..0..1. .1..0..0..0. .0..0..1..1. .0..1..0..0. .0..1..0..1 ..1..0..0..0. .1..0..1..0. .0..1..0..0. .1..0..0..1. .0..0..1..1 ..0..1..1..0. .0..1..1..1. .1..1..0..1. .1..1..1..1. .1..0..1..0 ..0..0..0..1. .0..0..0..1. .1..0..1..1. .0..0..0..0. .0..1..0..1 CROSSREFS Column 2 is A180762. Row 1 is A000045(n-1). Row 2 is A302225. Row 3 is A302473. Row 4 is A302474. Sequence in context: A302224 A302670 A302472 * A256068 A302381 A303102 Adjacent sequences:  A303251 A303252 A303253 * A303255 A303256 A303257 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 20 2018 STATUS approved

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Last modified January 21 00:46 EST 2022. Contains 350473 sequences. (Running on oeis4.)