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A200165
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
12
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
OFFSET
1,1
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Row 2 is A033996(n-1)
Sequence in context: A291306 A068451 A131715 * A326938 A344031 A229534
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 13 2011
STATUS
approved