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Number of (7*n)Xn binary arrays with rows in nonincreasing order, 7 ones in every column and no more than 3 ones in any row
0

%I #4 Mar 31 2012 12:36:12

%S 1,8,410,101829,87171345,197263686098,990154499577167

%N Number of (7*n)Xn binary arrays with rows in nonincreasing order, 7 ones in every column and no more than 3 ones in any row

%C Row 7 of A188416

%e All solutions for 14X2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 30 2011