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

Author

R. H. Hardin Sep 19 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

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]