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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..113

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 * A229534 A021810 A073800

Adjacent sequences:  A200162 A200163 A200164 * A200166 A200167 A200168

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 13 2011

STATUS

approved

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Last modified October 23 05:56 EDT 2019. Contains 328335 sequences. (Running on oeis4.)