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%I #8 Apr 02 2018 08:28:37
%S 666,2442,9990,43986,204246,987762,4934070,25308786,132730326,
%T 709335282,3852616950,21219113586,118292970006,666434422002,
%U 3788953272630,21712782262386,125279753843286,727120126151922,4241619956725110
%N Number of (n+1) X 3 0..5 arrays with every 2 X 2 subblock summing to 10.
%C Column 2 of A183662.
%H R. H. Hardin, <a href="/A183655/b183655.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 21*a(n-1) - 175*a(n-2) + 735*a(n-3) - 1624*a(n-4) + 1764*a(n-5) - 720*a(n-6).
%F Empirical g.f.: 6*x*(111 - 1924*x + 12543*x^2 - 37994*x^3 + 52584*x^4 - 25920*x^5) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)). - _Colin Barker_, Apr 02 2018
%e Some solutions for 5 X 3:
%e ..5..0..5....2..1..1....1..4..1....1..5..1....4..1..1....2..3..5....3..0..3
%e ..5..0..5....3..4..4....0..5..0....3..1..3....2..3..5....4..1..1....5..2..5
%e ..1..4..1....3..0..2....2..3..2....5..1..5....5..0..2....2..3..5....1..2..1
%e ..1..4..1....4..3..5....2..3..2....0..4..0....1..4..4....5..0..2....4..3..4
%e ..2..3..2....3..0..2....1..4..1....2..4..2....3..2..0....0..5..3....2..1..2
%Y Cf. A183662.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
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