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Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.
1

%I #4 Nov 28 2016 11:03:17

%S 4,1713,145208,7196852,263134490,7804657491,197112382716,

%T 4361870602212,86190316947578,1541836669016245,25236090146159518,

%U 381171321062737412,5350587072804920340,70218509804475284134,865927060368778196406

%N Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

%C Column 3 of A278798.

%H R. H. Hardin, <a href="/A278794/b278794.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A278794/a278794.txt">Empirical polynomial of degree 173</a>

%F Empirical polynomial of degree 173 (see link above)

%e Some solutions for n=3

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

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

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

%Y Cf. A278798.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2016