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

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000217(n+1)

Column 2 is A222993

Row 1 is A223718