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%I #8 Apr 02 2018 08:28:42
%S 3254,9990,35162,135966,563114,2458590,11196842,52793406,256308074,
%T 1275989790,6492865322,33682946046,177764461034,952702906590,
%U 5176836594602,28481036093886,158444359333994,890260394424990
%N Number of (n+1) X 4 0..5 arrays with every 2 X 2 subblock summing to 10.
%C Column 3 of A183662.
%H R. H. Hardin, <a href="/A183656/b183656.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.: 2*x*(1627 - 29172*x + 197411*x^2 - 622938*x^3 + 901512*x^4 - 466560*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 3 X 4:
%e ..2..4..2..5....3..3..4..1....2..4..1..4....1..3..1..4....2..3..1..5
%e ..2..2..2..1....4..0..3..2....2..2..3..2....1..5..1..4....2..3..3..1
%e ..3..3..3..4....1..5..2..3....4..2..3..2....3..1..3..2....2..3..1..5
%Y Cf. A183662.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
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