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%I #7 Jun 26 2022 03:42:42
%S 288,1948,12417,70752,377890,1874171,8783904,38884279,163704284,
%T 657363226,2525936111,9324137986,33129297593,113732864597,
%U 377785457375,1218228779121,3817997272627,11661674918706,34748345374833
%N Number of (n+1) X (4+1) 0..1 arrays with the sum of each 2 X 2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.
%C Column 4 of A235772.
%H R. H. Hardin, <a href="/A235769/b235769.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A235769/a235769.txt">Empirical recurrence of order 88</a>
%F Empirical recurrence of order 88 (see link above).
%e Some solutions for n=4
%e ..0..0..1..0..1....0..0..1..0..0....1..0..0..1..0....0..1..0..0..0
%e ..1..1..0..0..0....1..1..0..1..0....0..1..0..0..0....1..0..1..0..1
%e ..1..1..0..0..1....0..1..0..0..1....1..1..0..0..0....1..0..1..1..0
%e ..1..0..1..1..0....1..1..1..1..1....1..0..1..1..1....0..1..0..1..1
%e ..1..1..0..1..1....0..1..0..1..0....1..1..1..0..0....1..1..0..0..1
%Y Cf. A235772.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2014