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Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.
1

%I #4 Nov 27 2016 06:47:35

%S 20,275,3232,33466,306070,2487889,18151220,120104810,727684612,

%T 4070893254,21181152380,103146867706,472709673984,2048611972127,

%U 8431440391174,33079800818118,124138709933301,446936241587393

%N Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

%C Column 3 of A278727.

%H R. H. Hardin, <a href="/A278722/b278722.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A278722/a278722.txt">Empirical polynomial of degree 45</a>

%F Empirical polynomial of degree 45 (see link above)

%e Some solutions for n=4

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

%e ..1..1..0. .2..1..1. .2..0..0. .1..3..2. .2..1..0. .1..1..0. .2..1..0

%e ..2..2..2. .2..2..2. .3..2..1. .3..1..3. .2..1..2. .2..2..3. .2..3..3

%e ..3..0..2. .2..2..2. .3..3..1. .3..3..2. .2..3..3. .3..3..0. .3..1..0

%Y Cf. A278727.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2016