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A200057
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T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and elements alternately strictly increasing and strictly decreasing
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11
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1, 1, 2, 1, 4, 4, 1, 6, 10, 4, 1, 8, 22, 26, 6, 1, 10, 36, 78, 68, 10, 1, 12, 56, 172, 288, 178, 14, 1, 14, 78, 324, 840, 1098, 472, 22, 1, 16, 106, 546, 1948, 4172, 4224, 1276, 34, 1, 18, 136, 850, 3914, 11962, 20978, 16432, 3462, 52, 1, 20, 172, 1252, 7074, 28554, 74338
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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
..2....4......6.......8.......10.......12........14.........16.........18
..4...10.....22......36.......56.......78.......106........136........172
..4...26.....78.....172......324......546.......850.......1252.......1764
..6...68....288.....840.....1948.....3914......7074......11862......18732
.10..178...1098....4172....11962....28554.....59910.....114232.....202314
.14..472...4224...20978....74338...211242....514168....1115572....2215290
.22.1276..16432..106674...466548..1577878...4453946...10995240...24477966
.34.3462..64310..545698..2947742.11867186..38855488..109147062..272432422
.52.9496.253692.2811236.18746754.89815404.341052122.1090022120.3050199016
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LINKS
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EXAMPLE
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Some solutions for n=7 k=6
..3....0...-2....1....0...-3....0....0...-3....0...-3...-3....3...-3....0...-6
.-1...-3...-6....0...-1....6....2....5...-6....5...-6....0...-3...-2...-4....3
..0....5....6....3....6...-3...-2...-5....4...-5....3...-1....3...-3....4...-2
.-4....2...-5...-4...-3...-2....1....6...-5....6...-3....4...-5....1...-6....5
..4....4....1...-1...-1...-4...-5...-3....5...-3....6...-1....4...-1....6....1
.-3...-6....0...-3...-6....6....4....1...-1....2...-3....3...-3....6...-5....3
..1...-2....6....4....5....0....0...-4....6...-5....6...-2....1....2....5...-4
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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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