A201155 T(n,k)=Number of nXk 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally

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

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: A066779 A132384 A378120 * A200534 A138743 A184284

Adjacent sequences: A201152 A201153 A201154 * A201156 A201157 A201158

Keyword

nonn,tabl

Author

R. H. Hardin Nov 27 2011

Status

approved