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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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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

Adjacent sequences:  A229409 A229410 A229411 * A229413 A229414 A229415

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 22 2013

STATUS

approved

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Last modified December 6 06:14 EST 2021. Contains 349563 sequences. (Running on oeis4.)