cp's OEIS Frontend

A188449 T(n,k)=Number of (n*k)Xk binary arrays with nonzero rows in decreasing order, no more than 3 ones in any row and exactly n ones in every column.

%I A188449 #10 Jul 22 2025 11:12:58
%S A188449 1,2,0,5,1,0,14,8,0,0,46,66,5,0,0,166,722,139,1,0,0,652,9955,4944,139,
%T A188449 0,0,0,2780,165252,244490,16683,66,0,0,0,12644,3221806,15980350,
%U A188449 2876300,30090,14,0,0,0,61136,72445292,1330789145,703845255,18014566,30090,1,0,0
%N A188449 T(n,k)=Number of (n*k)Xk binary arrays with nonzero rows in decreasing order, no more than 3 ones in any row and exactly n ones in every column.
%C A188449 Table starts
%C A188449 .1.2.5..14....46.......166..........652...........2780...........12644
%C A188449 .0.1.8..66...722......9955.......165252........3221806........72445292
%C A188449 .0.0.5.139..4944....244490.....15980350.....1330789145....137418347276
%C A188449 .0.0.1.139.16683...2876300....703845255...235994839738.105035943170557
%C A188449 .0.0.0..66.30090..18014566..15978843654.20633840650794
%C A188449 .0.0.0..14.30090..64224371.203200240829
%C A188449 .0.0.0...1.16683.135725210
%C A188449 .0.0.0...0..4944
%C A188449 .0.0.0...0
%C A188449 .0.0.0
%H A188449 R. H. Hardin, <a href="/A188449/b188449.txt">Table of n, a(n) for n = 1..80</a>
%e A188449 All solutions for 9X3
%e A188449 ..1..1..0....1..1..1....1..1..1....1..1..1....1..1..1
%e A188449 ..1..0..1....1..1..0....1..1..0....1..0..1....1..1..0
%e A188449 ..1..0..0....1..0..1....1..0..0....1..0..0....1..0..1
%e A188449 ..0..1..1....0..1..1....0..1..1....0..1..1....0..1..0
%e A188449 ..0..1..0....0..0..0....0..0..1....0..1..0....0..0..1
%e A188449 ..0..0..1....0..0..0....0..0..0....0..0..0....0..0..0
%e A188449 ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e A188449 ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e A188449 ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%Y A188449 Row 1 is A001680
%K A188449 nonn,tabl
%O A188449 1,2
%A A188449 _R. H. Hardin_ Mar 31 2011