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%I #6 Apr 17 2022 20:48:33
%S 84,10401,2487889,815294800,279368748599,90462380211862,
%T 26947618206791521,7361981179311574929,1850980180963910285369,
%U 430395479744245915185211,93005966539515246802755901
%N Number of n X 6 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.
%C Column 6 of A278727.
%H R. H. Hardin, <a href="/A278725/b278725.txt">Table of n, a(n) for n = 1..19</a>
%e Some solutions for n=2
%e ..2..2..1..0..0..0. .3..1..1..1..1..0. .3..3..1..1..1..0. .2..2..2..1..1..1
%e ..3..0..0..1..1..1. .3..3..3..1..1..3. .3..3..3..1..1..0. .3..1..0..2..2..2
%Y Cf. A278727.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 27 2016