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A199847
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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
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11
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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
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OFFSET
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1,3
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COMMENTS
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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
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LINKS
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EXAMPLE
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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