# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a206628 Showing 1-1 of 1 %I A206628 #8 Mar 04 2018 16:10:54 %S A206628 14,121,1085,9729,87238,782246,7014246,62895364,563970356,5057011236, %T A206628 45345224920,406601711384,3645917557848,32692225503376, %U A206628 293144754758096,2628571347438864,23569882170595936,211346496672826976 %N A206628 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order. %C A206628 Column 1 of A206635. %H A206628 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A206628 Empirical: a(n) = 8*a(n-1) + 8*a(n-2) + 6*a(n-3) for n>4. %F A206628 Empirical g.f.: x*(14 + 9*x + 5*x^2 - 3*x^3) / (1 - 8*x - 8*x^2 - 6*x^3). - _Colin Barker_, Mar 04 2018 %e A206628 Some solutions for n=4: %e A206628 ..0..1....0..1....0..0....0..1....0..1....0..0....0..0....0..1....0..1....0..1 %e A206628 ..0..2....0..0....1..1....2..0....2..0....0..0....0..1....1..1....0..2....0..2 %e A206628 ..2..0....1..1....1..1....1..2....0..1....0..1....2..1....0..1....1..2....1..1 %e A206628 ..0..2....1..0....1..0....2..0....2..2....0..1....2..0....2..2....2..1....1..2 %e A206628 ..1..0....2..1....1..2....0..1....2..1....1..2....0..1....1..2....1..0....1..1 %Y A206628 Cf. A206635. %K A206628 nonn %O A206628 1,1 %A A206628 _R. H. Hardin_, Feb 10 2012 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE