A188411 - OEIS

%I #5 Mar 31 2012 12:36:12

%S 14,124,723,3217,11712,36659,101829,256901,598561,1304537,2685847,

%T 5264872,9887953,17884567,31286432,53124506,87823301,141718060,

%U 223721900,346177936,525932968,785679308,1155612796,1675467445,2396988410

%N 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 Column 4 of A188416

%H R. H. Hardin, <a href="/A188411/b188411.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for 8X4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2011