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

Author

R. H. Hardin Dec 05 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A200759