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A199847
T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous
11
1, 1, 2, 1, 3, 5, 1, 4, 8, 11, 1, 5, 13, 23, 26, 1, 6, 18, 42, 66, 63, 1, 7, 25, 68, 132, 192, 153, 1, 8, 32, 103, 239, 428, 575, 376, 1, 9, 41, 149, 399, 845, 1393, 1739, 931, 1, 10, 50, 206, 630, 1532, 2958, 4561, 5307, 2317, 1, 11, 61, 276, 944, 2600, 5754, 10349, 15032
OFFSET
1,3
COMMENTS
Table starts
....1.....1.....1......1......1......1.......1.......1.......1.......1........1
....2.....3.....4......5......6......7.......8.......9......10......11.......12
....5.....8....13.....18.....25.....32......41......50......61......72.......85
...11....23....42.....68....103....149.....206.....276.....361.....461......578
...26....66...132....239....399....630.....944....1367....1913....2612.....3482
...63...192...428....845...1532...2600....4188....6465....9634...13932....19636
..153...575..1393...2958...5754..10426...17879...29268...46126...70322...104253
..376..1739..4561..10349..21383..41079...74424..128462..212862..340592...528705
..931..5307.15032..36111..78735.159330..303400..549404..953172.1594101..2581937
.2317.16304.49889.126121.288580.611698.1218440.2304210.4169150.7260993.12230924
LINKS
EXAMPLE
Some solutions for n=7 k=6
..5....4....2....2....6....5....2...-1....3....3....6....4....6....6....5....3
..4....2....1....3....6....2....1....0....3....1....3....1....6....1....5...-1
..1....2....1....3....0....3....1....1...-1....1....4....1...-2....1...-1...-1
..0...-1...-1....0...-4...-2....1....0....0...-1....1....2...-2....1...-3....0
.-2....0...-2...-1...-3...-3....1....1....1...-1...-2....2...-2....0...-3...-1
.-2...-1...-1...-1...-2...-3....0....0....0....0...-6...-5...-3...-3...-2....0
.-6...-6....0...-6...-3...-2...-6...-1...-6...-3...-6...-5...-3...-6...-1....0
CROSSREFS
Column 1 is A051286
Row 3 is A000982(n+2)
Sequence in context: A119355 A076110 A117584 * A047997 A188211 A175009
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 11 2011
STATUS
approved