A223815 T(n,k)=Number of nXk 0..2 arrays with row sums nondecreasing and column sums unimodal

3, 9, 6, 22, 50, 10, 46, 337, 222, 15, 86, 1922, 4120, 867, 21, 148, 9783, 65465, 43941, 3123, 28, 239, 45537, 921010, 1941904, 426527, 10660, 36, 367, 198252, 11789302, 76453838, 52310070, 3875213, 35064, 45, 541, 817482, 139965348, 2740448352

Offset

1,1

Comments

Table starts

..3.......9.........22...........46.............86.............148

..6......50........337.........1922...........9783...........45537

.10.....222.......4120........65465.........921010........11789302

.15.....867......43941......1941904.......76453838......2740448352

.21....3123.....426527.....52310070.....5767953144....581679349302

.28...10660....3875213...1313561156...405333095737.115166445136785

.36...35064...33540705..31302500115.26977674423993

.45..112373..279734339.716436867795

.55..353517.2266708593

.66.1097430

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

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

Crossrefs

Column 1 is A000217(n+1)

Column 2 is A222993

Row 1 is A223718

Sequence in context: A224262 A223918 A224190 * A275414 A223309 A179483

Adjacent sequences: A223812 A223813 A223814 * A223816 A223817 A223818

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved