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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 November 29 11:56 EST 2020. Contains 338766 sequences. (Running on oeis4.)