A190071 T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero.

0, 2, 4, 6, 12, 0, 12, 36, 40, 12, 20, 76, 166, 144, 0, 30, 143, 483, 922, 550, 40, 42, 233, 1126, 3481, 5136, 1896, 0, 56, 366, 2276, 9904, 25306, 28656, 7584, 140, 72, 536, 4150, 23400, 88509, 191456, 162028, 27328, 0, 90, 760, 6946, 48491, 249119, 834717

Offset: 1

Author

R. H. Hardin May 04 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

...4.....12.......36........76........143.........233..........366..........536

...0.....40......166.......483.......1126........2276.........4150.........6946

..12....144......922......3481.......9904.......23400........48491........92478

...0....550.....5136.....25306......88509......249119.......599181......1291797

..40...1896....28656....191456.....834717.....2783714......7737762.....18951546

...0...7584...162028...1436962....7843113....31391655....101530262....282859251

.140..27328...910716..10802667...73725405...353856100...1333341624...4232955454

...0.105348..5162308..81709584..697624797..4017545773..17643516841..63898862902

.504.398760.29554964.622881909.6644826507.45918810745.235162515839.972408511316

Examples

			Some solutions for n=6 k=4
.-3...-4....2....1....3...-3...-4....1....2...-1...-3....2...-1....1....2...-2
.-1...-4...-4...-3...-2...-2...-2...-2...-3...-1...-1...-1...-2...-2...-3...-4
..3....2....1....2....4....1....4...-2...-2...-3....1....3...-3....3...-2...-2
.-1....2....1....4....2...-2...-3....2....4....1....2....3...-2....1...-3....1
.-1....4...-2....3...-1....3....3...-4...-1....2....3...-4....2...-2....2....3
..4....3...-1....4...-3....2....3...-4...-4....2...-4...-4...-1....3....4....2
..3...-2...-1....3...-3...-3....4....4...-3....4....3...-4....1...-3...-3...-1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..793

Crossrefs

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

Row 1 is A002378(n-1)