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A201439
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T(n,k) = Number of zero-sum -k..k arrays of n elements with first through fourth differences also in -k..k.
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10
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1, 1, 1, 1, 3, 3, 1, 3, 5, 1, 1, 5, 15, 15, 5, 1, 5, 21, 29, 21, 9, 1, 7, 27, 75, 55, 37, 5, 1, 7, 47, 115, 111, 167, 39, 3, 1, 9, 57, 217, 479, 527, 295, 65, 5, 1, 9, 67, 297, 837, 1341, 1275, 647, 107, 3, 1, 11, 97, 479, 1333, 3067, 4285, 3643, 1427, 183, 5, 1, 11, 111, 609, 1989
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OFFSET
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1,5
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COMMENTS
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Table starts
.1...1....1.....1......1......1.......1.......1........1........1.........1
.1...3....3.....5......5......7.......7.......9........9.......11........11
.3...5...15....21.....27.....47......57......67.......97......111.......125
.1..15...29....75....115....217.....297.....479......609......887......1091
.5..21...55...111....479....837....1333....1989.....2827.....5737......7743
.9..37..167...527...1341...3067....6019...11353....19601....32099.....50621
.5..39..295..1275...4285..11591...27087...57287...111197...203089....349901
.3..65..647..3643..14655..46521..126147..302317...656023..1320573...2491653
.5.107.1427.10245..50273.189527..592487.1606929..3900645..8671331..17926489
.3.183.3399.30215.176501.794867.2795067.8694999.23480657.57552991.130573921
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LINKS
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EXAMPLE
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Some solutions for n=10, k=3
..2...-2....0...-3....0....3....2....2....2....0...-1...-1....3....0....1...-1
..2...-1....0....0....1....1....1....2....1...-1....1...-1....3....1...-1...-1
..2...-1....1....1....1....0....1....2....1...-1....1...-1....2....2...-2....1
..2...-1....1....0....1....0....2....1....1...-1....1...-1....0....3...-2....2
..1....0....1...-1....1....0....2....0....1....0....0...-1...-1....2...-1....2
..0....1....0...-1....0...-1....1...-1....0....0...-1....0...-2...-1....1....1
.-2....1...-1...-1....0...-2...-1...-1...-1....0...-1....1...-2...-3....2....0
.-3....0...-2....0....0...-2...-2...-1...-2....1...-1....1...-2...-3....1...-1
.-3....0...-1....2...-1...-1...-3...-1...-2....1....0....1...-1...-1....0...-2
.-1....3....1....3...-3....2...-3...-3...-1....1....1....2....0....0....1...-1
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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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