A224050 T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

4, 16, 16, 50, 160, 50, 130, 984, 984, 130, 296, 4580, 9731, 4580, 296, 610, 17723, 67585, 67585, 17723, 610, 1163, 59792, 376734, 638996, 376734, 59792, 1163, 2083, 180821, 1801402, 4646480, 4646480, 1801402, 180821, 2083, 3544, 499357, 7655477

Offset: 1

Author

R. H. Hardin Apr 01 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

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

...50.....984......9731.......67585.......376734.......1801402........7655477

..130....4580.....67585......638996......4646480......28403642......153482649

..296...17723....376734.....4646480.....41991129.....310514900.....1999959111

..610...59792...1801402....28403642....310514900....2701569493....20096076442

.1163..180821...7655477...153482649...1999959111...20096076442...169750613182

.2083..499357..29502561...753824187..11666303576..133729094355..1265415997425

.3544.1276595.104437965..3415377142..63064614327..821109158656..8609328529478

.5776.3053471.342818189.14392067725.319676018383.4743773544158.54810160645347

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..161

Crossrefs

Column 1 is A223659

Column 2 is A224058

Formula

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