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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 one mistake.
1

%I #4 Nov 25 2016 15:20:26

%S 35,532,4999,38848,280616,1998526,14437336,106388729,791018703,

%T 5827280865,41816145745,288815214521,1906968251924,12001457552556,

%U 71956255780683,411365841721218,2245996961511549,11734146676561159

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

%C Column 6 of A278676.

%H R. H. Hardin, <a href="/A278674/b278674.txt">Table of n, a(n) for n = 1..150</a>

%H R. H. Hardin, <a href="/A278674/a278674.txt">Empirical polynomial of degree 70</a>

%F Empirical polynomial of degree 70 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278676.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2016