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 A239537 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order 13
 1, 2, 1, 6, 2, 6, 16, 6, 24, 13, 44, 16, 216, 68, 47, 120, 44, 1536, 1014, 406, 128, 328, 120, 11616, 11108, 13254, 1584, 405, 896, 328, 86400, 131988, 293741, 98304, 7790, 1181, 2448, 896, 645504, 1533792, 7199001, 3785280, 984150, 33630, 3598, 6688, 2448 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .....1......2.........6...........16..............44...............120 .....1......2.........6...........16..............44...............120 .....6.....24.......216.........1536...........11616.............86400 ....13.....68......1014........11108..........131988...........1533792 ....47....406.....13254.......293741.........7199001.........171712936 ...128...1584.....98304......3785280.......165336096........6976042240 ...405...7790....984150.....71388971......5988724293......482858009716 ..1181..33630...8368566...1093269814....169350916116....25030781490504 ..3598.156032..77673624..18727824939...5466853947751..1514104924173186 .10705.695344.687582150.301846514891.164296850179323.84271877225127052 LINKS R. H. Hardin, Table of n, a(n) for n = 1..128 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +4*a(n-2) -3*a(n-3) k=2: [order 10] k=3: a(n) = 8*a(n-1) +26*a(n-2) -166*a(n-3) +96*a(n-4) +198*a(n-5) -81*a(n-6) Empirical for row n: n=1: a(n) = 2*a(n-1) +2*a(n-2) n=2: a(n) = 2*a(n-1) +2*a(n-2) n=3: a(n) = 6*a(n-1) +12*a(n-2) -8*a(n-3) n=4: [order 10] n=5: [order 37] n=6: [order 85] EXAMPLE Some solutions for n=4 k=4 ..0..1..0..0..1....0..1..2..1..2....0..1..1..2..1....0..1..2..0..2 ..0..1..0..0..1....0..1..2..1..2....0..1..1..2..1....0..1..2..0..2 ..0..2..0..2..1....1..2..2..1..2....0..1..1..0..1....0..1..2..0..2 ..0..2..0..2..1....1..2..2..1..0....2..0..2..0..2....1..0..2..1..2 ..0..2..0..2..1....1..2..2..1..0....2..0..2..0..2....1..0..2..1..2 CROSSREFS Row 1 and 2 are A002605 Row 3 is A231317 Sequence in context: A050457 A195441 A338025 * A076891 A071883 A368241 Adjacent sequences: A239534 A239535 A239536 * A239538 A239539 A239540 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 21 2014 STATUS approved

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Last modified September 15 13:05 EDT 2024. Contains 375938 sequences. (Running on oeis4.)