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Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.
1

%I #4 Nov 24 2016 08:41:22

%S 16,357,4754,49503,439446,3438414,24103803,153073965,888863183,

%T 4758719096,23665023516,110046094356,481337375925,1990600963219,

%U 7819169497216,29290369365213,105007107699726,361416768054859

%N Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

%C Column 3 of A278627.

%H R. H. Hardin, <a href="/A278622/b278622.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A278622/a278622.txt">Empirical polynomial of degree 43</a>

%F Empirical polynomial of degree 43 (see link above)

%e Some solutions for n=4

%e ..1..1..0. .2..2..0. .2..1..0. .0..2..1. .2..1..0. .2..0..0. .1..2..0

%e ..0..0..2. .1..1..0. .0..0..0. .2..0..1. .0..1..2. .2..1..0. .2..0..0

%e ..2..0..0. .2..0..1. .0..1..0. .2..2..2. .0..2..0. .0..0..2. .2..1..1

%e ..2..0..1. .2..2..1. .2..0..2. .2..2..2. .2..0..2. .1..2..2. .2..2..0

%Y Cf. A278627.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 24 2016