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A190071
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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
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16
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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
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..793
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EXAMPLE
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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
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CROSSREFS
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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
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin May 04 2011
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STATUS
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approved
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