A224064 T(n,k)=Number of nXk 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

4, 16, 16, 50, 160, 50, 130, 984, 984, 130, 296, 4580, 8854, 4580, 296, 610, 17723, 58814, 58814, 17723, 610, 1163, 59792, 324702, 506513, 324702, 59792, 1163, 2083, 180821, 1557606, 3509115, 3509115, 1557606, 180821, 2083, 3544, 499357, 6643979

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn
• tabl

Comments

Table starts

....4......16........50.........130..........296..........610.........1163

...16.....160.......984........4580........17723........59792.......180821

...50.....984......8854.......58814.......324702......1557606......6643979

..130....4580.....58814......506513......3509115.....21167501....114643788

..296...17723....324702.....3509115.....28682690....200974242...1274747540

..610...59792...1557606....21167501....200974242...1573171210..11060805360

.1163..180821...6643979...114643788...1274747540..11060805360..83942450048

.2083..499357..25596389...564290412...7460451193..72498474377.591725806925

.3544.1276595..90177585..2542634801..40485099654.448019196499

.5776.3053471.293585050.10557558941.203984697906

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A223659

Formula

Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,3,7,11