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%I #10 Apr 01 2018 14:16:01
%S 1333,3445,10213,33325,116653,431125,1664533,6663805,27510973,
%T 116631205,506044453,2240844685,10102562893,46271013685,214876977973,
%U 1009929047965,4796169800413,22979947770565,110935048993093,538933057705645
%N Number of (n+1) X 4 0..4 arrays with every 2 X 2 subblock summing to 8.
%C Column 3 of A183652.
%H R. H. Hardin, <a href="/A183646/b183646.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 15*a(n-1) - 85*a(n-2) + 225*a(n-3) - 274*a(n-4) + 120*a(n-5).
%F Empirical g.f.: x*(1333 - 16550*x + 71843*x^2 - 126970*x^3 + 75000*x^4) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)). - _Colin Barker_, Apr 01 2018
%e Some solutions for 3 X 4:
%e 0 2 0 4 1 3 2 1 1 3 1 4 2 2 4 1 3 3 3 2
%e 2 4 2 2 2 2 1 4 0 4 0 3 3 1 1 2 2 0 2 1
%e 2 0 2 2 2 2 3 0 1 3 1 4 1 3 3 2 3 3 3 2
%Y Cf. A183652.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
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