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.

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

Author

R. H. Hardin Nov 13 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 2 is A033996(n-1)