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 A230614 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 11
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 30, 0, 0, 0, 0, 30, 260, 348, 0, 0, 0, 0, 108, 2358, 7072, 3956, 0, 0, 0, 0, 386, 20430, 149664, 186396, 44916, 0, 0, 0, 0, 1376, 176774, 3023532, 9244260, 4899200, 509978, 0, 0, 0, 0, 4902, 1527918, 61203362 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS Table starts .0.0.0.......0..........0.............0................0..................0 .0.0.0.......2..........8............30..............108................386 .0.0.0......30........260..........2358............20430.............176774 .0.0.0.....348.......7072........149664..........3023532...........61203362 .0.0.0....3956.....186396.......9244260........434369516........20503681466 .0.0.0...44916....4899200.....570014364......62312057642......6859445695566 .0.0.0..509978..128706852...35145166536....8937075346246...2294186499807542 .0.0.0.5790456.3381000336.2166884610178.1281770005911328.767293632652220616 LINKS R. H. Hardin, Table of n, a(n) for n = 1..239 FORMULA Empirical for column k: k=4: a(n) = 15*a(n-1) -45*a(n-2) +42*a(n-3) -12*a(n-4) +a(n-5) k=5: a(n) = 31*a(n-1) -126*a(n-2) +42*a(n-3) +79*a(n-4) -a(n-5) +8*a(n-6) for n>7 k=6: [order 22] for n>23 k=7: [order 39] for n>41 Empirical for row n: n=2: a(n) = 4*a(n-1) -a(n-2) -2*a(n-3) for n>4 n=3: [order 14] for n>17 n=4: [order 59] for n>63 EXAMPLE Some solutions for n=4 k=4 ..0..1..2..1....0..1..2..0....0..1..2..0....0..1..2..0....0..1..2..0 ..2..0..1..2....0..2..1..0....0..2..1..0....2..0..1..2....0..2..1..2 ..2..1..0..2....2..0..2..1....1..2..2..1....2..1..0..2....0..1..0..2 ..1..2..1..0....1..2..0..2....0..1..0..2....0..0..1..0....2..0..1..0 CROSSREFS Row 2 is A230269(n-1) Sequence in context: A107503 A350731 A184366 * A230730 A299905 A225783 Adjacent sequences: A230611 A230612 A230613 * A230615 A230616 A230617 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 25 2013 STATUS approved

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Last modified December 7 23:32 EST 2022. Contains 358671 sequences. (Running on oeis4.)