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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 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 19 02:30 EST 2022. Contains 350464 sequences. (Running on oeis4.)