A200902 - OEIS

%I #5 Mar 31 2012 12:36:41

%S 6,15,15,33,30,33,46,13,13,46,44,649,1848,649,44,20,3247,1329,1329,

%T 3247,20,214,1483,219302,352339,219302,1483,214,1055,84463,142698,

%U 8982755,8982755,142698,84463,1055,3020,395138,28966191,18172239,218373106

%N T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Table starts

%C ....6.....15.......33.........46.........44.........20..........214

%C ...15.....30.......13........649.......3247.......1483........84463

%C ...33.....13.....1848.......1329.....219302.....142698.....28966191

%C ...46....649.....1329.....352339....8982755...18172239...6469118415

%C ...44...3247...219302....8982755..218373106.2162004143.784706456797

%C ...20...1483...142698...18172239.2162004143

%C ..214..84463.28966191.6469118415

%C .1055.395138.19687441

%C .3020.147370

%C .5124

%H R. H. Hardin, <a href="/A200902/b200902.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=3

%e ..0..1..4....0..1..1....0..0..2....0..0..2....0..1..2....0..1..1....0..0..4

%e ..0..2..4....2..3..5....1..1..3....1..5..3....0..3..3....0..4..5....1..3..4

%e ..2..3..5....2..4..5....2..5..4....4..4..5....2..4..5....2..4..3....1..2..5

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 23 2011