%I #9 May 18 2020 03:01:12
%S 1,8,410,154279,335279744,3037611501499,85864898797026630,
%T 6108049486793195602061,940799711096710781211340486,
%U 282034644651263093966900548272466,152112222253533154849862379093617650250,138939503191252353429488898422015410111981523
%N Number of (7*n) X n binary arrays with rows in nonincreasing order and 7 ones in every column.
%e All solutions for 14 X 2:
%e ..1..1....1..0....1..1....1..1....1..1....1..1....1..1....1..1
%e ..1..1....1..0....1..1....1..0....1..1....1..1....1..1....1..1
%e ..1..1....1..0....1..1....1..0....1..0....1..1....1..1....1..1
%e ..1..1....1..0....1..1....1..0....1..0....1..1....1..0....1..1
%e ..1..1....1..0....1..0....1..0....1..0....1..1....1..0....1..1
%e ..1..1....1..0....1..0....1..0....1..0....1..1....1..0....1..0
%e ..1..1....1..0....1..0....1..0....1..0....1..0....1..0....1..0
%e ..0..0....0..1....0..1....0..1....0..1....0..1....0..1....0..1
%e ..0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..1
%e ..0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..0
%e ..0..0....0..1....0..0....0..1....0..1....0..0....0..1....0..0
%e ..0..0....0..1....0..0....0..1....0..1....0..0....0..0....0..0
%e ..0..0....0..1....0..0....0..1....0..0....0..0....0..0....0..0
%e ..0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..0
%Y Row 7 of A188392.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 30 2011
%E a(7)-a(12) from _Andrew Howroyd_, May 17 2020