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A201033 T(n,k)=Number of nXk 0..4 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 8

%I #5 Mar 31 2012 12:36:42

%S 5,10,10,17,10,17,15,41,41,15,8,295,296,295,8,61,159,4238,4238,159,61,

%T 206,4587,3602,30157,3602,4587,206,410,8476,249211,96844,96844,249211,

%U 8476,410,426,33401,1055902,6814915,2579473,6814915,1055902,33401,426

%N T(n,k)=Number of nXk 0..4 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 ...5.....10........17.........15..........8..........61........206.........410

%C ..10.....10........41........295........159........4587.......8476.......33401

%C ..17.....41.......296.......4238.......3602......249211....1055902.....8657121

%C ..15....295......4238......30157......96844.....6814915..221032490..3642791292

%C ...8....159......3602......96844....2579473....78447852.2410888256.76028824895

%C ..61...4587....249211....6814915...78447852.21586894705

%C .206...8476...1055902..221032490.2410888256

%C .410..33401...8657121.3642791292

%C .426.272191.141222119

%C .228.128622

%H R. H. Hardin, <a href="/A201033/b201033.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=5 k=3

%e ..0..0..1....0..1..3....0..1..1....0..0..1....0..0..0....0..1..1....0..1..2

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

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

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

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

%Y Column 1 is A200940

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 26 2011

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Last modified June 14 02:27 EDT 2024. Contains 373392 sequences. (Running on oeis4.)