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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
16

%I #5 Mar 31 2012 12:36:15

%S 0,4,4,12,8,0,24,28,44,12,40,72,192,152,0,60,152,544,964,552,40,84,

%T 264,1340,3664,5416,2000,0,112,432,2520,11276,26804,31280,7628,140,

%U 144,660,4620,26152,97836,204544,173792,28440,0,180,968,7716,56440,274132,911144

%N 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

%C Table starts

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

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

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

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

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

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

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

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

%C ...0.108792..5562216..87396896..762015216..4324466328..19269747584

%C .504.411888.31839976.665272176.7245223968.49387377504.256327259704

%H R. H. Hardin, <a href="/A189545/b189545.txt">Table of n, a(n) for n = 1..757</a>

%e Some solutions for n=7 k=5

%e .-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-4...-5

%e .-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5...-5

%e ..1...-2...-2...-1....1...-5...-3....4....3...-4....3...-3....3....1...-4....3

%e ..4....4....2...-3...-3....2....5...-1....5....4...-2....4....5...-1....3....3

%e ..1...-1....3....2...-2...-3...-2....5...-5....3....3...-1....4...-2....4....3

%e .-3...-1...-1...-1...-3....1....5....2...-2....5....5....4....5...-5....3...-4

%e .-4....4...-1....3...-1...-3...-3....1....5...-2...-5....5....5...-1....4....5

%e ..5....5....4...-1...-2...-1...-3....4...-4...-5...-2....2...-2....3...-3...-2

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

%Y Row 1 is A046092(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Apr 23 2011