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A206236 Number of (n+1)X7 0..3 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order.

%I A206236 #7 Jul 22 2025 19:20:31
%S A206236 51066,170728,607008,9042600,118573968,1448239080,22535636736,
%T A206236 303011941944,3712941210144,57939122017416,779043702707184,
%U A206236 9545971851249384,148961482706745696,2002921359660139224
%N A206236 Number of (n+1)X7 0..3 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order.
%C A206236 Column 6 of A206238
%H A206236 R. H. Hardin, <a href="/A206236/b206236.txt">Table of n, a(n) for n = 1..210</a>
%F A206236 Empirical: a(n) = a(n-1) +2571*a(n-3) -2571*a(n-4) for n>10
%e A206236 Some solutions for n=4
%e A206236 ..0..0..1..0..0..1..0....0..0..1..0..0..1..0....0..0..1..0..0..1..2
%e A206236 ..0..2..0..0..2..0..0....1..0..0..1..0..0..1....0..1..0..0..3..2..2
%e A206236 ..1..0..0..2..0..0..2....2..3..0..0..1..0..0....2..0..0..3..2..2..1
%e A206236 ..0..0..1..0..0..3..1....2..2..1..0..0..1..1....0..0..1..2..2..3..0
%e A206236 ..3..3..0..0..2..1..1....3..2..2..3..0..1..2....3..3..2..2..3..0..0
%K A206236 nonn
%O A206236 1,1
%A A206236 _R. H. Hardin_ Feb 05 2012