A189498 T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero.

0, 2, 4, 6, 12, 0, 12, 38, 42, 12, 20, 78, 152, 136, 0, 30, 148, 462, 928, 550, 40, 42, 240, 1088, 3388, 4920, 1892, 0, 56, 380, 2128, 9394, 24806, 27508, 7384, 140, 72, 554, 3850, 22088, 85480, 182634, 152358, 26816, 0, 90, 788, 6474, 45892, 238836, 787412

Offset: 1

Author

R. H. Hardin Apr 23 2011

Keywords

• nonn
• tabl

Comments

Table starts

...0......2........6........12.........20..........30...........42...........56

...4.....12.......38........78........148.........240..........380..........554

...0.....42......152.......462.......1088........2128.........3850.........6474

..12....136......928......3388.......9394.......22088........45892........86416

...0....550.....4920.....24806......85480......238836.......567774......1218778

..40...1892....27508....182634.....787412.....2642358......7269852.....17692662

...0...7384...152358...1350418....7250142....29261538.....93830584....260746932

.140..26816...852940..10077438...67449574...326423068...1218634086...3870426602

...0.103288..4796962..75593372..630466648..3664621084..15936391068..57837221756

.504.386928.27117826.569975518.5926141678.41363200538.209537582772.869215927390

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..797

Crossrefs

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

Row 1 is A002378(n-1)