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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
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
Column 2 is A000217(n+1)
Sequence in context: A014410 A180986 A200763 * A220053 A320509 A358298
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 31 2011
STATUS
approved