|
|
A203291
|
|
T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero
|
|
12
|
|
|
2, 3, 3, 4, 6, 4, 5, 12, 10, 5, 6, 21, 28, 15, 6, 7, 35, 69, 57, 21, 7, 8, 54, 154, 188, 104, 28, 8, 9, 80, 310, 544, 444, 176, 36, 9, 10, 113, 580, 1380, 1614, 944, 280, 45, 10, 11, 155, 1013, 3172, 5036, 4206, 1844, 425, 55, 11, 12, 206, 1680, 6687, 13934, 15798, 9880
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
..2..3...4....5.....6......7.......8........9.......10........11........12
..3..6..12...21....35.....54......80......113......155.......206.......268
..4.10..28...69...154....310.....580.....1013.....1680......2662......4064
..5.15..57..188...544...1380....3172.....6687....13163.....24435.....43195
..6.21.104..444..1614...5036...13934....34847....80258....172405....349182
..7.28.176..944..4206..15798...51768...151393...403131....991692...2280620
..8.36.280.1844..9880..43958..168314...568933..1734054...4842044..12545910
..9.45.425.3369.21363.111053..491187..1899856..6570506..20665432..59915342
.10.55.620.5825.43136.259023.1310474..5750208.22393894..78796188.254083954
.11.66.876.9621.82267.565010.3241912.16015498.69763326.272964800.973625950
|
|
LINKS
|
|
|
EXAMPLE
|
Some solutions for n=3 k=3
.-2...-3...-3...-1...-2...-3...-1...-3...-3...-2...-3...-3...-2...-2...-2...-3
.-2...-2...-2...-1....0...-3....0...-2...-2...-1...-1...-1...-2...-2...-2...-1
..0...-1...-2...-1....0...-1....0...-2....0...-1...-1...-1...-1...-1...-2....0
..0....1....1....1....0....2....0....2....0....1....1....1....1....1....2....0
..2....2....3....1....0....2....0....2....2....1....2....1....2....1....2....2
..2....3....3....1....2....3....1....3....3....2....2....3....2....3....2....2
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|