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A206700 T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column.

%I A206700 #7 Jul 22 2025 19:37:45
%S A206700 3,9,9,26,81,26,75,676,676,75,216,5625,15712,5625,216,622,46656,
%T A206700 363465,363465,46656,622,1791,386884,8366690,23335217,8366690,386884,
%U A206700 1791,5157,3207681,192513201,1488199144,1488199144,192513201,3207681,5157,14849
%N A206700 T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column.
%C A206700 Table starts
%C A206700 ....3........9...........26..............75.................216
%C A206700 ....9.......81..........676............5625...............46656
%C A206700 ...26......676........15712..........363465.............8366690
%C A206700 ...75.....5625.......363465........23335217..........1488199144
%C A206700 ..216....46656......8366690......1488199144........262482902920
%C A206700 ..622...386884....192513201.....94853765621......46260684361347
%C A206700 .1791..3207681...4428597297...6043775871265....8149739471342829
%C A206700 .5157.26594649.101873060353.385074186960645.1435662206447144342
%H A206700 R. H. Hardin, <a href="/A206700/b206700.txt">Table of n, a(n) for n = 1..220</a>
%e A206700 Some solutions for n=4 k=3
%e A206700 ..2..0..1....2..0..1....0..0..2....2..0..1....2..1..0....2..2..2....2..1..0
%e A206700 ..0..0..2....2..0..2....0..0..2....2..0..2....0..1..1....1..2..1....2..1..2
%e A206700 ..1..1..2....1..0..2....0..0..0....2..0..2....1..0..0....0..2..2....2..1..1
%e A206700 ..0..0..1....1..2..1....1..2..0....2..0..1....1..2..2....0..0..2....0..1..1
%Y A206700 Column 1 is A076264
%K A206700 nonn,tabl
%O A206700 1,1
%A A206700 _R. H. Hardin_ Feb 11 2012