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A193702
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T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a subsequence of length 1, 2 or 3 with sum zero
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8
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1, 1, 3, 1, 5, 9, 1, 7, 23, 23, 1, 9, 43, 83, 57, 1, 11, 69, 181, 299, 141, 1, 13, 101, 317, 827, 1081, 351, 1, 15, 139, 491, 1741, 3773, 3931, 875, 1, 17, 183, 703, 3141, 9385, 17197, 14293, 2181, 1, 19, 233, 953, 5127, 19301, 50035, 78407, 51955, 5435, 1, 21, 289, 1241
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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
....3......5.......7.......9.......11.......13........15........17........19
....9.....23......43......69......101......139.......183.......233.......289
...23.....83.....181.....317......491......703.......953......1241......1567
...57....299.....827....1741.....3141.....5127......7799.....11257.....15601
..141...1081....3773....9385....19301....35121.....58661.....91953....137245
..351...3931...17197...50035...115761...231121....416291....694877...1093915
..875..14293...78407..268453...706591..1571745...3109443...5641657...9576643
.2181..51955..357403.1438203..4292223.10581553..22837977..44687885..81096625
.5435.188859.1629369.7705011.26065517.71181241.167468295.352989885.683733847
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LINKS
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EXAMPLE
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Some solutions for n=7 k=6
.-2...-5...-3...-4...-1...-1...-4...-3...-3...-3...-5...-2...-2...-4...-5...-3
..0....5....3....4....3....1....4...-1....4...-1....1....4....0....6....5....3
..2...-5....1...-2...-2....0....5....4...-1....4....4...-2....2...-2....0....6
..1....2....2....2...-6...-1...-6....0....1...-3...-3...-2...-5....2...-5...-6
.-3...-2...-3...-2....6...-5....1...-1...-2....2...-2...-2....5...-4....5....3
..5....6....0....2...-6....6....3....4....1...-6....5....4....3....4...-2...-5
.-5...-4....0...-2....0...-6...-3...-3....0....4...-3....0...-3...-4...-3....2
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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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