A278385 - OEIS

%I #4 Nov 20 2016 07:43:59

%S 0,0,0,0,0,0,0,3,3,0,0,40,74,40,0,1,267,1220,1220,267,1,8,1350,12910,

%T 23640,12910,1350,8,36,5936,100807,368421,368421,100807,5936,36,120,

%U 23565,652343,4703562,8632118,4703562,652343,23565,120,330,84912,3750182

%N T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

%C Table starts

%C ...0......0........0...........0..............0................1

%C ...0......0........3..........40............267.............1350

%C ...0......3.......74........1220..........12910...........100807

%C ...0.....40.....1220.......23640.........368421..........4703562

%C ...0....267....12910......368421........8632118........179716850

%C ...1...1350...100807.....4703562......179716850.......6204309386

%C ...8...5936...652343....50473056.....3325788157.....198563803019

%C ..36..23565..3750182...474255829....54735436424....5851197688577

%C .120..84912.19784428..4047341159...813247916326..157794170262819

%C .330.278422.96786947.32112086692.11132424779200.3912513274701995

%H R. H. Hardin, <a href="/A278385/b278385.txt">Table of n, a(n) for n = 1..219</a>

%F Empirical for column k:

%F k=1: [polynomial of degree 7]

%F k=2: [polynomial of degree 15]

%F k=3: [polynomial of degree 31]

%F k=4: [polynomial of degree 63]

%F k=5: [polynomial of degree 127]

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 1 is A000580(n+1).

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_, Nov 20 2016