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A188411 Number of (4*n)X4 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.

%I A188411 #7 Jul 22 2025 11:11:30
%S A188411 14,124,723,3217,11712,36659,101829,256901,598561,1304537,2685847,
%T A188411 5264872,9887953,17884567,31286432,53124506,87823301,141718060,
%U A188411 223721900,346177936,525932968,785679308,1155612796,1675467445,2396988410
%N A188411 Number of (4*n)X4 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
%C A188411 Column 4 of A188416
%H A188411 R. H. Hardin, <a href="/A188411/b188411.txt">Table of n, a(n) for n = 1..49</a>
%e A188411 Some solutions for 8X4
%e A188411 ..1..1..0..1....1..0..0..1....1..0..0..1....1..1..1..0....1..0..1..0
%e A188411 ..1..0..1..0....1..0..0..0....1..0..0..1....1..1..0..0....1..0..0..0
%e A188411 ..0..1..1..1....0..1..0..0....0..1..1..0....0..0..1..0....0..1..1..1
%e A188411 ..0..0..0..0....0..1..0..0....0..1..0..0....0..0..0..1....0..1..0..1
%e A188411 ..0..0..0..0....0..0..1..1....0..0..1..0....0..0..0..1....0..0..0..0
%e A188411 ..0..0..0..0....0..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A188411 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A188411 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%K A188411 nonn
%O A188411 1,1
%A A188411 _R. H. Hardin_ Mar 30 2011