%I
%S 0,161,52424,6888340,518626568,27351484380,1123462079180,
%T 38208069702548,1117773552649752,28854012889071265,669117722718849452,
%U 14125545954412619268,274254133053070192532,4937202122626940281323
%N Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.
%C Column 3 of A278896.
%H R. H. Hardin, <a href="/A278891/b278891.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..2. .2..3..2. .3..2..3. .2..0..1. .0..3..3. .1..3..1. .3..0..2
%e ..3..3..2. .2..1..2. .0..2..3. .1..3..1. .0..0..2. .1..1..3. .2..3..3
%e ..1..1..3. .1..1..1. .0..0..3. .1..0..0. .1..0..3. .0..1..1. .0..0..2
%Y Cf. A278896.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 30 2016
