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%I #11 Jun 14 2018 08:18:18
%S 102,1070,14182,196078,2728486,38016046,529805350,7383933550,
%T 102911463910,1434302337070,19990233287398,278608949740270,
%U 3883043657285542,54118965415458862,754269763387561894
%N Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order.
%C Row 2 of A206169.
%H R. H. Hardin, <a href="/A206171/b206171.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) - 21*a(n-2) - 120*a(n-3) + 153*a(n-4) + 216*a(n-5) - 243*a(n-6).
%F Empirical g.f.: 2*x*(51 - 281*x - 398*x^2 + 1938*x^3 + 927*x^4 - 2997*x^5) / ((1 - x)*(1 - 3*x)*(1 - 3*x^2)*(1 - 12*x - 27*x^2)). - _Colin Barker_, Jun 14 2018
%e Some solutions for n=4:
%e 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0
%e 0 1 0 2 0 0 2 0 1 2 0 0 1 0 2 0 1 0 1 0
%e 2 1 3 1 1 1 3 0 1 2 3 3 3 3 1 1 0 1 0 1
%Y Cf. A206169.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2012
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