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A188416 T(n,k)=Number of (n*k)Xk binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row 14

%I

%S 1,2,1,5,3,1,14,16,4,1,46,124,39,5,1,166,1308,723,81,6,1,652,17443,

%T 21965,3217,150,7,1,2780,282349,968230,252493,11712,256,8,1,12644,

%U 5396178,57967660,33313408,2181522,36659,410,9,1,61136,119324602,4505774905

%N T(n,k)=Number of (n*k)Xk binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row

%C Table starts

%C .1..2....5.....14........46..........166............652............2780

%C .1..3...16....124......1308........17443.........282349.........5396178

%C .1..4...39....723.....21965.......968230.......57967660......4505774905

%C .1..5...81...3217....252493.....33313408.....6720357785...1943505834628

%C .1..6..150..11712...2181522....793369090...498407294632.497114063711190

%C .1..7..256..36659..15083334..14100262412.25784105550034

%C .1..8..410.101829..87171345.197263686098

%C .1..9..625.256901.434626896

%C .1.10..915.598561

%C .1.11.1296

%H R. H. Hardin, <a href="/A188416/b188416.txt">Table of n, a(n) for n = 1..80</a>

%e All solutions for 6X2

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

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

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

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

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

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

%Y Column 3 is A011863(n+1)

%Y Row 1 is A001680

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 30 2011

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Last modified August 7 16:00 EDT 2022. Contains 355994 sequences. (Running on oeis4.)