A224050 - OEIS

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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

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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

LINKS

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

FORMULA

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

EXAMPLE

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

CROSSREFS

Column 1 is A223659

Column 2 is A224058

Sequence in context: A075382 A203252 A224064 * A224281 A224204 A238287

Adjacent sequences: A224047 A224048 A224049 * A224051 A224052 A224053

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 01 2013

STATUS

approved