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

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

R. H. Hardin, Table of n, a(n) for n = 1..71

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

Adjacent sequences: A229317 A229318 A229319 * A229321 A229322 A229323

Keyword

nonn,tabl

Author

R. H. Hardin Sep 19 2013

Status

approved