A200761 -id:A200761 - cp's OEIS frontend

A200831 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards.

6, 21, 21, 69, 196, 69, 219, 1630, 1630, 219, 679, 12776, 33540, 12776, 679, 2070, 96511, 642953, 642953, 96511, 2070, 6235, 709506, 11757774, 29830782, 11757774, 709506, 6235, 18608, 5112134, 207535740, 1307781737, 1307781737, 207535740

Offset: 1

R. H. Hardin Nov 23 2011

Table starts
......6.........21...........69............219..............679
.....21........196.........1630..........12776............96511
.....69.......1630........33540.........642953.........11757774
....219......12776.......642953.......29830782.......1307781737
....679......96511.....11757774.....1307781737.....136335515996
...2070.....709506....207535740....54981059192...13551445405790
...6235....5112134...3568229516..2243416408567.1303531416951055
..18608...36238976..60064451704.89423476817120
..55148..253579683.994081203872
.162532.1755615191

			Some solutions for n=5 k=3
..0..0..0....0..0..3....0..0..1....0..0..2....0..0..1....0..0..1....0..0..0
..0..0..0....0..0..5....0..0..4....0..0..4....0..0..3....0..0..1....0..0..1
..0..0..4....0..0..4....0..0..5....0..0..3....0..0..3....0..1..3....0..0..5
..0..0..2....0..2..4....1..1..5....0..1..4....1..2..3....0..2..4....0..1..3
..2..5..5....0..4..4....1..1..4....2..5..5....3..3..5....2..5..4....0..2..5

R. H. Hardin, Table of n, a(n) for n = 1..71

Column 1 is A200761

cp's OEIS Frontend

A200831 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards.

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