A201105 T(n,k)=Number of nXk 0..7 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, 28, 28, 90, 140, 90, 213, 334, 334, 213, 398, 103, 2052, 103, 398, 536, 14881, 235661, 235661, 14881, 536, 496, 246332, 659775, 267814, 659775, 246332, 496, 212, 838638, 44795285, 751183732, 751183732, 44795285, 838638, 212, 3748, 324469, 1777011587

Offset

1,1

Comments

Table starts

...8.....28.......90.......213.......398.......536........496....212.3748

..28....140......334.......103.....14881....246332.....838638.324469

..90....334.....2052....235661....659775..44795285.1777011587

.213....103...235661....267814.751183732.776236449

.398..14881...659775.751183732

.536.246332.44795285

.496.838638

.212

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

Some solutions for n=3 k=3
..0..1..3....0..2..1....0..1..2....0..4..3....0..2..5....0..4..3....0..2..5
..4..6..7....3..6..5....4..5..6....2..5..6....1..3..7....1..7..6....1..3..6
..2..6..5....4..4..7....3..7..7....1..7..6....4..7..6....2..7..5....4..6..7

Crossrefs

Column 1 is A200941

Sequence in context: A112663 A220288 A201101 * A184614 A006377 A319233

Adjacent sequences: A201102 A201103 A201104 * A201106 A201107 A201108

Keyword

nonn,tabl

Author

R. H. Hardin Nov 26 2011

Status

approved