|
|
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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|