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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A188414 Number of (7*n)X7 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.

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%I A188414 #6 Jul 22 2025 11:11:44
%S A188414 652,282349,57967660,6720357785,498407294632,25784105550034,
%T A188414 990154499577167
%N A188414 Number of (7*n)X7 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
%C A188414 Column 7 of A188416
%e A188414 Some solutions for 14X7
%e A188414 ..1..0..0..0..0..1..1....1..0..0..0..0..1..0....1..0..0..1..0..0..1
%e A188414 ..1..0..0..0..0..0..0....1..0..0..0..0..0..0....1..0..0..0..0..0..1
%e A188414 ..0..1..0..1..0..0..0....0..1..0..1..1..0..0....0..1..0..1..1..0..0
%e A188414 ..0..1..0..0..0..1..0....0..1..0..0..0..0..1....0..1..0..0..0..0..0
%e A188414 ..0..0..1..0..0..0..0....0..0..1..1..0..0..0....0..0..1..0..1..0..0
%e A188414 ..0..0..1..0..0..0..0....0..0..1..0..0..0..1....0..0..1..0..0..1..0
%e A188414 ..0..0..0..1..1..0..0....0..0..0..0..1..0..0....0..0..0..0..0..1..0
%e A188414 ..0..0..0..0..1..0..0....0..0..0..0..0..1..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A188414 ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%K A188414 nonn
%O A188414 1,1
%A A188414 _R. H. Hardin_ Mar 30 2011