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%I #9 Nov 05 2014 17:54:52
%S 537,2111,7900,40199,189527,1031110,5389465,30143115,165929972,
%T 944003155,5344612635,30772376030,177071735521,1028182698707,
%U 5974708787086,34897441921851,204032291698675,1196536094450238,7023128154032847
%N Number of (n+1) X (3+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2 X 2 subblock equal.
%C Column 3 of A236884.
%H R. H. Hardin, <a href="/A236879/b236879.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A236879/a236879.txt">Empirical recurrence of order 63</a>
%F Empirical recurrence of order 63 (see link above).
%e Some solutions for n=5:
%e ..1..2..1..2....1..2..2..1....1..1..1..1....0..2..2..2....1..2..0..2
%e ..2..2..2..2....2..1..1..2....1..2..0..2....2..2..2..2....1..2..1..2
%e ..2..0..2..1....1..2..2..1....0..1..1..1....2..1..2..2....0..2..1..2
%e ..2..2..2..2....2..1..0..2....1..2..1..2....2..2..2..2....1..2..1..2
%e ..1..2..2..2....1..2..2..1....0..1..1..1....2..2..2..2....0..2..1..2
%e ..2..2..2..1....2..1..1..2....1..2..0..2....2..1..2..0....2..1..2..0
%Y Cf. A236884.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 01 2014