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A209527 T(n,k)=Number of nXk 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

%I A209527 #7 Jul 22 2025 21:48:19
%S A209527 1,2,2,5,6,5,15,57,57,15,52,700,2027,700,52,203,10677,107693,107693,
%T A209527 10677,203,877,193676,7700397,27323948,7700397,193676,877,4140,
%U A209527 4054358,687132348,9700576474,9700576474,687132348,4054358,4140,21146,95534880
%N A209527 T(n,k)=Number of nXk 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.
%C A209527 Table starts
%C A209527 ....1........2.............5.................15.......................52
%C A209527 ....2........6............57................700....................10677
%C A209527 ....5.......57..........2027.............107693..................7700397
%C A209527 ...15......700........107693...........27323948...............9700576474
%C A209527 ...52....10677.......7700397.........9700576474...........16484968944748
%C A209527 ..203...193676.....687132348......4194606038254........31813625228165210
%C A209527 ..877..4054358...71519658191...2002617518101082.....64398780661554524050
%C A209527 .4140.95534880.8190834795146.999998646599976052.132601740316897661044124
%H A209527 R. H. Hardin, <a href="/A209527/b209527.txt">Table of n, a(n) for n = 1..84</a>
%e A209527 Some solutions for n=5 k=3
%e A209527 ..0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..0....0..1..0
%e A209527 ..1..2..1....1..2..1....1..2..1....1..2..0....1..2..2....1..2..3....0..2..0
%e A209527 ..2..0..0....0..0..0....0..0..1....1..0..3....0..0..1....1..0..0....0..1..0
%e A209527 ..0..3..1....1..2..1....1..2..0....0..2..0....1..2..0....0..2..3....0..2..1
%e A209527 ..3..1..0....0..1..0....0..0..1....0..1..0....0..0..1....2..3..0....1..2..0
%Y A209527 Column 1 is A099263
%K A209527 nonn,tabl
%O A209527 1,2
%A A209527 _R. H. Hardin_ Mar 10 2012