A201216 T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards.

4, 10, 10, 23, 50, 23, 51, 216, 216, 51, 110, 867, 1684, 867, 110, 233, 3318, 11932, 11932, 3318, 233, 488, 12314, 79739, 146946, 79739, 12314, 488, 1013, 44858, 512681, 1692945, 1692945, 512681, 44858, 1013, 2088, 161257, 3216277, 18624423, 33635880

Offset: 1

Author

R. H. Hardin Nov 28 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

...10......50.......216..........867...........3318...........12314

...23.....216......1684........11932..........79739..........512681

...51.....867.....11932.......146946........1692945........18624423

..110....3318.....79739......1692945.......33635880.......638359663

..233...12314....512681.....18624423......638359663.....21062625664

..488...44858...3216277....198262359....11689716107....671706552402

.1013..161257..19817136...2055746385...207621805136..20756983300265

.2088..574237.120478844..20869314255..3594844603992.624562355419649

.4278.2029778.724707450.208139081237.60914727372933

Examples

			Some solutions for n=4 k=4
..0..0..2..1....0..0..1..1....0..0..0..0....0..0..0..1....0..0..0..1
..0..0..3..1....0..1..2..2....0..0..2..3....0..0..1..1....0..0..1..1
..3..3..3..3....1..1..3..3....0..0..2..2....0..0..3..3....3..3..3..3
..1..2..3..2....2..2..2..3....0..3..2..3....2..2..2..3....1..1..2..3
		

Links

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

Crossrefs

Column 1 is A200759