A189545 T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero.

0, 4, 4, 12, 8, 0, 24, 28, 44, 12, 40, 72, 192, 152, 0, 60, 152, 544, 964, 552, 40, 84, 264, 1340, 3664, 5416, 2000, 0, 112, 432, 2520, 11276, 26804, 31280, 7628, 140, 144, 660, 4620, 26152, 97836, 204544, 173792, 28440, 0, 180, 968, 7716, 56440, 274132, 911144

Offset: 1

Author

R. H. Hardin Apr 23 2011

Keywords

• nonn
• tabl

Comments

Table starts

...0......4.......12........24.........40..........60...........84

...4......8.......28........72........152.........264..........432

...0.....44......192.......544.......1340........2520.........4620

..12....152......964......3664......11276.......26152........56440

...0....552.....5416.....26804......97836......274132.......683144

..40...2000....31280....204544.....911144.....3022220......8655424

...0...7628...173792...1526520....8485264....33638540....111406336

.140..28440...977092..11544464...80270588...379997096...1456853916

...0.108792..5562216..87396896..762015216..4324466328..19269747584

.504.411888.31839976.665272176.7245223968.49387377504.256327259704

Examples

			Some solutions for n=7 k=5
.-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-4...-5
.-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5
..1...-2...-2...-1....1...-5...-3....4....3...-4....3...-3....3....1...-4....3
..4....4....2...-3...-3....2....5...-1....5....4...-2....4....5...-1....3....3
..1...-1....3....2...-2...-3...-2....5...-5....3....3...-1....4...-2....4....3
.-3...-1...-1...-1...-3....1....5....2...-2....5....5....4....5...-5....3...-4
.-4....4...-1....3...-1...-3...-3....1....5...-2...-5....5....5...-1....4....5
..5....5....4...-1...-2...-1...-3....4...-4...-5...-2....2...-2....3...-3...-2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..757

Crossrefs

Column 1 is A028329(n/2) for even n

Row 1 is A046092(n-1)