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Number of nX7 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.
0

%I #3 Jan 06 2016 11:31:14

%S 2,6,21,115,816,7185,68890,671796,6347005,56180274,460040399,

%T 3470013146,24151911854,155703390684

%N Number of nX7 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.

%C Column 7 of A266935.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266935.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2016