A201836 T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally

4, 10, 10, 23, 50, 23, 51, 212, 212, 51, 110, 823, 1629, 823, 110, 233, 3030, 11180, 11180, 3030, 233, 488, 10777, 71501, 135236, 71501, 10777, 488, 1013, 37530, 434721, 1513357, 1513357, 434721, 37530, 1013, 2088, 128742, 2553223, 15948080, 29732625

Offset

1,1

Comments

Table starts

....4......10........23...........51............110.............233

...10......50.......212..........823...........3030...........10777

...23.....212......1629........11180..........71501..........434721

...51.....823.....11180.......135236........1513357........15948080

..110....3030.....71501......1513357.......29732625.......550056273

..233...10777....434721.....15948080......550056273.....17998651651

..488...37530...2553223....160648302.....9704449810....561578131760

.1013..128742..14601638...1559706843...164528513926..16796197116664

.2088..437110..81799885..14692678301..2699295015987.485048305371706

.4278.1472736.450682446.134927163853.43085122777927

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Column 1 is A200759

Sequence in context: A202581 A201729 A310337 * A201216 A184277 A264163

Adjacent sequences: A201833 A201834 A201835 * A201837 A201838 A201839

Keyword

nonn,tabl

Author

R. H. Hardin Dec 05 2011

Status

approved