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A200165
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T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero
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12
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2, 4, 0, 6, 8, 2, 8, 24, 34, 0, 10, 48, 128, 76, 2, 12, 80, 348, 576, 276, 0, 14, 120, 726, 2256, 2778, 700, 2, 16, 168, 1326, 6160, 15040, 12440, 2276, 0, 18, 224, 2180, 13888, 52486, 96884, 57992, 5992, 2, 20, 288, 3352, 27160, 145482, 438968, 631638, 262444
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OFFSET
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1,1
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COMMENTS
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Table starts
.2.....4.......6.........8.........10.........12........14.........16........18
.0.....8......24........48.........80........120.......168........224.......288
.2....34.....128.......348........726.......1326......2180.......3352......4874
.0....76.....576......2256.......6160......13888.....27160......48380.....80096
.2...276....2778.....15040......52486.....145482....336992.....695778...1309052
.0...700...12440.....96884.....438968....1504820...4141212....9922424..21253088
.2..2276...57992....631638....3687480...15586972..50917674..141509152.344941886
.0..5992..262444...4072228...30776992..160772064.624074768.2012800872
.2.18542.1202540..26327538..257108784.1658521710
.0.50488.5463896.169703920.2144437176
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LINKS
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EXAMPLE
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Some solutions for n=6 k=5
..1...-4....1....1....1...-5....1....1....2...-5...-4....2....2....2...-4....1
.-3....2....4...-5...-4....1....2...-3....1....2...-5...-5....3....3...-5....2
.-2...-1....1...-4....5...-3....4...-5...-4...-3...-3....2....1....2....1...-5
..5...-3...-3...-2...-3....5...-2....3....2...-1...-5....3...-3....3....3...-1
.-2....5....2....2...-5....4...-5...-1...-2....5...-4...-1....5....2...-1...-3
..3....4....5...-3...-2...-1....1....4...-1...-1....1...-2....2...-3....2...-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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