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A201155 T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally 8
3, 6, 6, 11, 20, 11, 19, 56, 56, 19, 32, 140, 235, 140, 32, 53, 330, 860, 860, 330, 53, 87, 745, 2910, 4572, 2910, 745, 87, 142, 1634, 9287, 22183, 22183, 9287, 1634, 142, 231, 3504, 28452, 100362, 153796, 100362, 28452, 3504, 231, 375, 7388, 84473, 432048 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...3.....6.....11.......19.........32..........53............87............142

...6....20.....56......140........330.........745..........1634...........3504

..11....56....235......860.......2910........9287.........28452..........84473

..19...140....860.....4572......22183......100362........432048........1791740

..32...330...2910....22183.....153796......988216.......6002677.......34907951

..53...745...9287...100362.....988216.....9005581......77316192......632331257

..87..1634..28452...432048....6002677....77316192.....938925282....10844322561

.142..3504..84473..1791740...34907951...632331257...10844322561...177169920997

.231..7388.244933..7225068..196209473..4971371594..120031503310..2771232663847

.375.15366.697065.28510387.1073245835.37852928161.1282802588833.41769721151444

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

EXAMPLE

Some solutions for n=3 k=7

..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..1..1..1

..0..1..1..1..2..1..1....0..0..1..2..2..2..2....0..0..1..1..1..2..2

..1..1..1..1..2..2..2....0..0..1..1..2..1..1....1..1..2..2..2..2..2

CROSSREFS

Column 1 is A001911(n+1)

Sequence in context: A119980 A066779 A132384 * A200534 A138743 A184284

Adjacent sequences:  A201152 A201153 A201154 * A201156 A201157 A201158

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 27 2011

STATUS

approved

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)