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Number of nX6 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.
1

%I #4 Nov 28 2016 08:21:31

%S 21,1750,48501,955347,16205001,251740932,3634987413,48847405083,

%T 611199661843,7140933364136,78280456105686,809842005695656,

%U 7953581118077240,74557744904209329,670158115881138987

%N Number of nX6 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

%C Column 6 of A278778.

%H R. H. Hardin, <a href="/A278776/b278776.txt">Table of n, a(n) for n = 1..153</a>

%H R. H. Hardin, <a href="/A278776/a278776.txt">Empirical polynomial of degree 134</a>

%F Empirical polynomial of degree 134 (see link above)

%e Some solutions for n=3

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

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

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

%Y Cf. A278778.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2016