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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A223659

Sequence in context: A366683 A075382 A203252 * A224050 A224281 A224204

Adjacent sequences: A224061 A224062 A224063 * A224065 A224066 A224067

Keyword

nonn,tabl

Author

R. H. Hardin Mar 30 2013

Status

approved