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A223918
T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
13
3, 9, 6, 22, 36, 10, 46, 158, 100, 15, 86, 548, 666, 225, 21, 148, 1600, 3311, 2111, 441, 28, 239, 4102, 13347, 14123, 5548, 784, 36, 367, 9503, 45988, 74040, 48182, 12752, 1296, 45, 541, 20299, 140236, 323394, 319156, 139925, 26494, 2025, 55, 771, 40570
OFFSET
1,1
COMMENTS
Table starts
..3....9.....22......46.......86.......148........239.........367..........541
..6...36....158.....548.....1600......4102.......9503.......20299........40570
.10..100....666....3311....13347.....45988.....140236......387671.......988447
.15..225...2111...14123....74040....323394....1226491.....4157102.....12856218
.21..441...5548...48182...319156...1721356....7906972....31947798....116289938
.28..784..12752..139925..1147712...7526024...41334135...196691651....831996762
.36.1296..26494..359344..3588729..28247478..183720802..1022160764...4994941017
.45.2025..50863..837243.10031780..93683295..715114500..4620831232..25961964085
.55.3025..91634.1802306.25574524.280338123.2489822632.18558764134.119279565646
.66.4356.156682.3633256.60357024.769012348.7881608430.67311575302.492221386729
LINKS
FORMULA
Empirical: columns k=1..7 are polynomials of degree 2*k for n>0,0,0,1,2,3,4
Empirical: rows n=1..7 are polynomials of degree 4*n
EXAMPLE
Some solutions for n=3 k=4
..0..2..1..0....1..2..2..0....0..0..1..0....1..0..0..0....1..0..0..0
..0..2..1..1....1..2..2..0....0..0..1..1....1..1..1..1....1..0..0..0
..1..2..1..1....1..2..2..0....0..1..2..1....2..2..2..2....2..2..2..0
CROSSREFS
Column 1 is A000217(n+1)
Column 2 is A000537(n+1)
Row 1 is A223718
Sequence in context: A134693 A096948 A224262 * A224190 A223815 A275414
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 29 2013
STATUS
approved