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A188391 Number of (7*n) X 7 binary arrays with rows in nonincreasing order and n ones in every column. 1

%I #8 May 18 2020 03:00:51

%S 877,624889,238773109,55643064708,8738543204786,992649275638900,

%T 85864898797026630,5878897478976883089,328290088245117576091,

%U 15312799057782368782624,608266461487720680703265,20908600183730320082374280

%N Number of (7*n) X 7 binary arrays with rows in nonincreasing order and n ones in every column.

%e Some solutions for 14 X 7:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%Y Column 7 of A188392.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2011

%E a(7)-a(12) from _Andrew Howroyd_, May 17 2020

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)