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 A230469 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 13
 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 36, 114, 8, 0, 0, 216, 2398, 1384, 30, 0, 0, 1260, 35052, 76518, 16926, 108, 0, 0, 6912, 552720, 3062214, 2593962, 212124, 386, 0, 0, 38340, 8724560, 131421154, 281740616, 89087722, 2647098, 1376, 0, 0, 213192, 138661614 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 COMMENTS Table starts .0....0........0............0...............0..................0 .0....0........0...........36.............216...............1260 .0....2......114.........2398...........35052.............552720 .0....8.....1384........76518.........3062214..........131421154 .0...30....16926......2593962.......281740616........33169633760 .0..108...212124.....89087722.....26096227960......8449174734112 .0..386..2647098...3045192312...2412390974650...2147475302085202 .0.1376.33046400.104165339046.223089594072370.545932535826768684 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3) k=3: [order 7] k=4: [order 21] k=5: [order 68] Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 6*a(n-1) -a(n-2) -12*a(n-3) +20*a(n-4) +24*a(n-5) n=3: [order 16] for n>17 n=4: [order 57] for n>58 EXAMPLE Some solutions for n=3 k=4 ..0..1..1..0....0..1..1..1....0..1..1..0....0..0..1..0....0..2..1..2 ..2..2..0..2....1..2..2..1....1..2..2..0....0..1..2..2....1..1..0..0 ..1..0..1..2....1..0..0..1....0..1..0..1....1..2..0..1....0..0..2..2 CROSSREFS Column 2 is A230269 Sequence in context: A179072 A073111 A229685 * A004076 A013369 A013416 Adjacent sequences:  A230466 A230467 A230468 * A230470 A230471 A230472 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 20 2013 STATUS approved

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Last modified September 25 13:01 EDT 2020. Contains 337344 sequences. (Running on oeis4.)