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A183603 T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values.

%I A183603 #7 Jul 22 2025 09:08:20
%S A183603 6,27,27,120,204,120,534,1479,1479,534,2376,10797,17174,10797,2376,
%T A183603 10572,78729,201770,201770,78729,10572,47040,574185,2366412,3831324,
%U A183603 2366412,574185,47040,209304,4187499,27768032,72592860,72592860,27768032,4187499
%N A183603 T(n,k)=1/6 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock containing all three values.
%C A183603 Table starts
%C A183603 .......6.........27..........120.............534..............2376
%C A183603 ......27........204.........1479...........10797.............78729
%C A183603 .....120.......1479........17174..........201770...........2366412
%C A183603 .....534......10797.......201770.........3831324..........72592860
%C A183603 ....2376......78729......2366412........72592860........2220901926
%C A183603 ...10572.....574185.....27768032......1376627608.......68026656422
%C A183603 ...47040....4187499....325834456.....26108240340.....2083981368760
%C A183603 ..209304...30539367...3823553752....495215814566....63854542807704
%C A183603 ..931296..222722937..44868561272...9393691937690..1956721189681174
%C A183603 .4143792.1624313781.526526214848.178194216929170.59964037003007332
%H A183603 R. H. Hardin, <a href="/A183603/b183603.txt">Table of n, a(n) for n = 1..179</a>
%e A183603 Some solutions with a(1,1)=0 for 4X3
%e A183603 ..0..1..0....0..0..1....0..2..0....0..1..1....0..1..0....0..1..0....0..0..0
%e A183603 ..2..2..0....1..2..1....0..1..0....2..0..2....2..2..1....1..2..1....1..2..1
%e A183603 ..1..0..1....2..0..2....1..2..0....1..1..2....1..0..2....0..2..0....1..0..0
%e A183603 ..2..2..1....1..1..0....0..2..1....2..0..1....2..2..1....2..1..1....0..2..1
%Y A183603 Column 1 is 3*A021001(n-1)
%K A183603 nonn,tabl
%O A183603 1,1
%A A183603 _R. H. Hardin_ Jan 05 2011