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A229320
T(n,k)=Number of nXk 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..3 array without adjacent equal elements in the latter
8
4, 14, 14, 50, 154, 50, 176, 1494, 1494, 176, 622, 13968, 34022, 13968, 622, 2196, 129766, 717882, 717882, 129766, 2196, 7756, 1203222, 14972226, 33330044, 14972226, 1203222, 7756, 27390, 11146054, 310664552, 1520769276, 1520769276
OFFSET
1,1
COMMENTS
Table starts
.....4........14...........50.............176..............622.............2196
....14.......154.........1494...........13968...........129766..........1203222
....50......1494........34022..........717882.........14972226........310664552
...176.....13968.......717882........33330044.......1520769276......69027667944
...622....129766.....14972226......1520769276.....151503568022...14999158146398
..2196...1203222....310664552.....69027667944...14999158146398.3239971166331308
..7756..11146054...6441333794...3129534386120.1483911991489430
.27390.103236194.133479301256.141829123448362
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3) +2*a(n-4)
k=2: [order 65]
EXAMPLE
Some solutions for n=2 k=4
..3..1..3..0....1..2..3..2....1..2..2..2....1..2..2..0....2..0..1..0
..2..1..2..3....0..3..0..3....2..2..1..2....0..1..0..3....1..2..1..1
CROSSREFS
Sequence in context: A189814 A200553 A229392 * A127302 A204541 A020157
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 19 2013
STATUS
approved