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A183917 T(n,k)=Number of nondecreasing arrangements of n numbers in -k..k with sum zero 5
1, 1, 2, 1, 3, 2, 1, 4, 5, 3, 1, 5, 8, 8, 3, 1, 6, 13, 18, 12, 4, 1, 7, 18, 33, 32, 18, 4, 1, 8, 25, 55, 73, 58, 24, 5, 1, 9, 32, 86, 141, 151, 94, 33, 5, 1, 10, 41, 126, 252, 338, 289, 151, 43, 6, 1, 11, 50, 177, 414, 676, 734, 526, 227, 55, 6, 1, 12, 61, 241, 649, 1242, 1656, 1514 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.1..1...1....1....1.....1.....1......1......1......1.......1.......1.......1

.2..3...4....5....6.....7.....8......9.....10.....11......12......13......14

.2..5...8...13...18....25....32.....41.....50.....61......72......85......98

.3..8..18...33...55....86...126....177....241....318.....410.....519.....645

.3.12..32...73..141...252...414....649....967...1394....1944....2649....3523

.4.18..58..151..338...676..1242...2137...3486...5444....8196...11963...17002

.4.24..94..289..734..1656..3370...6375..11322..19138...30982...48417...73316

.5.33.151..526.1514..3788..8512..17575..33885..61731..107233..178870..288100

.5.43.227..910.2934..8150.20094..45207..94257.184717..343363..610358.1043534

.6.55.338.1514.5448.16660.44916.109583.246448.517971.1028172.1943488.3521260

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1350

EXAMPLE

Some solutions for n=5

.-2...-4...-4...-4...-4...-1...-4...-3...-4...-3...-1...-4...-3...-3...-2...-4

.-2....0....0...-1...-2....0...-2...-2...-1...-3...-1...-4....0...-2....0...-3

..0....0....0....0...-1....0....1...-1....1....0....0....1....0....1....0...-1

..0....1....2....2....3....0....2....3....2....3....0....3....0....1....1....4

..4....3....2....3....4....1....3....3....2....3....2....4....3....3....1....4

CROSSREFS

Column 2 is A001973

Column 3 is A001977

Column 4 is A001981

Diagonal is A109655

Row 3 is A000982(n+1)

Sequence in context: A191318 A293600 A191395 * A181971 A104741 A167237

Adjacent sequences:  A183914 A183915 A183916 * A183918 A183919 A183920

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 07 2011

STATUS

approved

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Last modified December 5 20:54 EST 2019. Contains 329779 sequences. (Running on oeis4.)