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A229412
T(n,k)=Number of nXk 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally
8
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
1,1
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
LINKS
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]
EXAMPLE
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
CROSSREFS
Column 1 is A125145
Sequence in context: A163773 A306825 A210788 * A076349 A175959 A260577
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 22 2013
STATUS
approved