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

1,2

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

Links

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

Example

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

Crossrefs

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

Row 1 is A002378(n-1)

Sequence in context: A084979 A049914 A056763 * A189498 A129567 A064469

Adjacent sequences: A190068 A190069 A190070 * A190072 A190073 A190074

Keyword

nonn,tabl

Author

R. H. Hardin May 04 2011

Status

approved