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A209738 Number of n X 2 0..5 arrays with every 2 X 2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.

%I A209738 #8 Jul 12 2018 20:26:44
%S A209738 2,6,57,700,10594,183240,3412100,65953664,1298076552,25767620512,
%T A209738 513555943312,10254450363264,204934235829536,4097247120151424,
%U A209738 81931587030997056,1638507658307430400,32769000295781617792
%N A209738 Number of n X 2 0..5 arrays with every 2 X 2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.
%C A209738 Column 2 of A209744.
%H A209738 R. H. Hardin, <a href="/A209738/b209738.txt">Table of n, a(n) for n = 1..210</a>
%F A209738 Empirical: a(n) = 32*a(n-1) - 258*a(n-2) + 296*a(n-3) + 1256*a(n-4) + 480*a(n-5) for n>6.
%F A209738 Empirical g.f.: x*(2 - 58*x + 381*x^2 - 168*x^3 - 1388*x^4 - 536*x^5) / ((1 - 20*x)*(1 - 4*x - 2*x^2)*(1 - 8*x - 12*x^2)). - _Colin Barker_, Jul 12 2018
%e A209738 Some solutions for n=5:
%e A209738 ..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..1....0..1....0..0
%e A209738 ..1..2....1..2....1..2....0..2....1..2....1..2....1..2....2..0....1..2....1..2
%e A209738 ..0..0....0..0....2..0....0..3....1..0....0..0....2..0....0..3....0..0....1..3
%e A209738 ..1..2....3..1....3..0....0..1....0..2....2..3....2..1....2..2....1..2....2..1
%e A209738 ..1..3....4..1....0..4....0..2....0..1....2..4....2..0....0..1....1..0....3..1
%Y A209738 Cf. A209744.
%K A209738 nonn
%O A209738 1,1
%A A209738 _R. H. Hardin_, Mar 12 2012