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 A232908 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally 16
 0, 10, 4, 52, 34, 8, 82, 320, 194, 12, 432, 2958, 4928, 1034, 32, 2372, 27692, 68310, 62276, 4986, 84, 8456, 250934, 1825972, 1827866, 761860, 24498, 184, 29970, 2338508, 39641548, 115154048, 49501666, 9880580, 122994, 412, 132972, 21159320 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....0.......10...........52..............82.................432 ....4.......34..........320............2958...............27692 ....8......194.........4928...........68310.............1825972 ...12.....1034........62276.........1827866...........115154048 ...32.....4986.......761860........49501666..........7517844304 ...84....24498......9880580......1295371950........485354122160 ..184...122994....123587140.....34359557398......31320663237216 ..412...613658...1571314692....911287659098....2024849938767040 ..976..3048362..19864803028..24111990771426..130826030730696144 .2276.15169602.251467184100.638690599346926.8452502440791870368 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3) k=2: a(n) = 4*a(n-1) -a(n-2) +26*a(n-3) +16*a(n-4) k=3: [order 8] k=4: [order 18] k=5: [order 34] for n>35 k=6: [order 75] for n>77 Empirical for row n: n=1: a(n) = 4*a(n-2) +28*a(n-3) +80*a(n-4) +48*a(n-5) -67*a(n-6) -228*a(n-7) -224*a(n-8) n=2: [order 29] for n>30 EXAMPLE Some solutions for n=3 k=4 ..0..1..2..0..1....2..1..0..0..1....0..1..2..1..0....2..1..0..0..0 ..2..1..2..2..1....0..0..1..2..2....0..1..0..2..1....2..2..1..1..0 ..0..1..1..0..0....2..1..2..1..0....0..1..0..0..0....2..1..2..2..2 ..2..1..0..1..2....0..1..2..1..2....2..1..2..1..2....0..0..1..1..0 CROSSREFS Sequence in context: A094580 A192027 A180866 * A216653 A267180 A038306 Adjacent sequences:  A232905 A232906 A232907 * A232909 A232910 A232911 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 02 2013 STATUS approved

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Last modified May 9 13:35 EDT 2021. Contains 343742 sequences. (Running on oeis4.)