A229412 T(n,k)=Number of nXk 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

4, 15, 15, 57, 163, 57, 216, 1756, 1756, 216, 819, 18712, 53538, 18712, 819, 3105, 199595, 1629298, 1629298, 199595, 3105, 11772, 2127718, 49788258, 142475606, 49788258, 2127718, 11772, 44631, 22684613, 1519840402, 12462062342

Offset: 1

Author

R. H. Hardin Sep 22 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....4........15............57..............216..................819

....15.......163..........1756............18712...............199595

....57......1756.........53538..........1629298.............49788258

...216.....18712.......1629298........142475606..........12462062342

...819....199595......49788258......12462062342........3113479414050

..3105...2127718....1519840402....1088122273732......777638567093963

.11772..22684613...46408035676...95053083585891...194334416016079648

.44631.241841143.1416912709750.8301763765531574.48554820719187209670

Examples

			Some solutions for n=3 k=4
..0..0..0..3....0..2..0..2....0..0..3..0....0..0..2..2....0..0..3..0
..3..2..2..2....0..1..0..1....0..2..1..0....3..3..1..3....2..2..2..1
..3..0..1..3....0..2..3..3....2..3..0..3....1..3..2..0....0..0..1..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Crossrefs

Column 1 is A125145

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +3*a(n-2)

k=2: a(n) = 10*a(n-1) +13*a(n-2) -67*a(n-3) +38*a(n-4) -2*a(n-5)

k=3: [order 13]

k=4: [order 40]