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A223815
T(n,k)=Number of nXk 0..2 arrays with row sums nondecreasing and column sums unimodal
7
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 27 2013
STATUS
approved