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A224123 T(n,k)=Number of nXk 0..3 arrays with row sums nondecreasing and column sums unimodal 6
4, 16, 10, 50, 150, 20, 130, 1747, 1080, 35, 296, 16782, 47059, 6627, 56, 610, 140210, 1703178, 1070499, 36552, 84, 1163, 1050460, 53355889, 145901795, 21632718, 187000, 120, 2083, 7227405, 1491827492, 17292618579, 11066001160, 400993828 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

..10.....150.......1747........16782........140210.......1050460

..20....1080......47059......1703178......53355889....1491827492

..35....6627....1070499....145901795...17292618579.1830213565657

..56...36552...21632718..11066001160.4964366292229

..84..187000..400993828.766386005577

.120..905440.6962188526

.165.4206453

.220

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

EXAMPLE

Some solutions for n=3 k=4

..0..2..2..0....2..0..0..1....2..2..0..0....0..2..3..0....0..0..2..1

..2..2..2..1....2..2..2..0....2..3..1..0....2..0..3..0....0..0..0..3

..2..3..1..3....0..2..2..3....0..2..2..3....0..3..2..0....0..1..3..3

CROSSREFS

Column 1 is A000292(n+1)

Column 2 is A223069

Row 1 is A223659

Sequence in context: A224173 A223864 A223987 * A273579 A147560 A266973

Adjacent sequences:  A224120 A224121 A224122 * A224124 A224125 A224126

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 31 2013

STATUS

approved

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Last modified January 26 11:53 EST 2022. Contains 350598 sequences. (Running on oeis4.)