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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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 02 2013
STATUS
approved