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A206389 T(n,k)=Number of nXk 0..6 arrays with no element equal to another within a city block distance of two, and new values 0..6 introduced in row major order.

%I A206389 #7 Jul 22 2025 19:26:32
%S A206389 1,1,1,1,1,1,2,4,4,2,5,33,55,33,5,15,380,1368,1368,380,15,52,4801,
%T A206389 34442,67716,34442,4801,52,202,62004,868994,3328979,3328979,868994,
%U A206389 62004,202,855,804833,21916090,164270604,319902496,164270604,21916090,804833,855
%N A206389 T(n,k)=Number of nXk 0..6 arrays with no element equal to another within a city block distance of two, and new values 0..6 introduced in row major order.
%C A206389 Table starts
%C A206389 ...1......1.........1..........2...........5..........15............52
%C A206389 ...1......1.........4.........33.........380........4801.........62004
%C A206389 ...1......4........55.......1368.......34442......868994......21916090
%C A206389 ...2.....33......1368......67716.....3328979...164270604....8094257014
%C A206389 ...5....380.....34442....3328979...319902496.30809397399.2965468376203
%C A206389 ..15...4801....868994..164270604.30809397399
%C A206389 ..52..62004..21916090.8094257014
%C A206389 .202.804833.552801398
%H A206389 R. H. Hardin, <a href="/A206389/b206389.txt">Table of n, a(n) for n = 1..60</a>
%e A206389 Some solutions for n=4 k=3
%e A206389 ..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
%e A206389 ..2..3..0....2..3..0....3..4..0....2..3..4....2..3..4....3..4..5....2..3..4
%e A206389 ..4..5..1....4..5..6....1..2..5....4..5..1....1..5..6....5..2..1....4..5..6
%e A206389 ..6..2..4....6..2..1....6..0..1....6..0..2....6..2..0....1..6..4....6..0..1
%Y A206389 Column 1 is A056272(n-2)
%Y A206389 Column 2 is A198900(n-1)
%K A206389 nonn,tabl
%O A206389 1,7
%A A206389 _R. H. Hardin_ Feb 07 2012