%I #6 Sep 04 2022 20:41:16
%S 23024,1581879,101237218,5639406769,284827103857,12969746978427,
%T 542604984360890,20967636062967018,756914723702877353,
%U 25670260853234070465,824040021622030909676,25151768078055048000358
%N Number of (n+1) X (3+1) 0..3 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 3 of A235779.
%H R. H. Hardin, <a href="/A235778/b235778.txt">Table of n, a(n) for n = 1..34</a>
%e Some solutions for n=1
%e ..3..0..1..3....3..2..2..2....2..2..0..2....3..3..2..2....2..3..0..0
%e ..0..3..2..0....0..1..3..3....1..2..1..1....1..1..0..0....3..1..3..0
%Y Cf. A235779.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2014