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

%I #4 Nov 17 2016 07:03:36

%S 16,294,4558,70795,986014,11557658,114457714,979384739,7403239385,

%T 50338674135,312278286478,1787165528059,9519474270945,47534286373117,

%U 223836172954845,998984714458061,4243782348859492,17223599427090859

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

%C Column 3 of A278309.

%H R. H. Hardin, <a href="/A278304/b278304.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A278304/a278304.txt">Empirical polynomial of degree 53</a>

%F Empirical polynomial of degree 53 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278309.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2016