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%I #5 Mar 31 2012 12:36:16
%S 1,3,2,5,8,4,8,15,22,8,10,29,63,72,16,14,39,159,384,280,32,16,61,306,
%T 1246,2393,1152,64,20,75,542,3247,9884,13569,4632,128,23,103,889,6733,
%U 31284,73992,72744,17888,256,27,124,1350,13034,77459,280284,542353
%N T(n,k)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero
%C Table starts
%C ...1......3........5.........8.........10..........14..........16...........20
%C ...2......8.......15........29.........39..........61..........75..........103
%C ...4.....22.......63.......159........306.........542.........889.........1350
%C ...8.....72......384......1246.......3247........6733.......13034........22220
%C ..16....280.....2393......9884......31284.......77459......168737.......327880
%C ..32...1152....13569.....73992.....280284......839968.....2095080......4678100
%C ..64...4632....72744....542353....2514945.....9133420....26586582.....68081570
%C .128..17888...393006...4014514...23257218...101599137...346371666...1012894742
%C .256..67232..2206620..30195535..219695998..1148390301..4569825052..15245829657
%C .512.251136.12731028.229483051.2090461716.13075280021.60616719909.230937539015
%H R. H. Hardin, <a href="/A189951/b189951.txt">Table of n, a(n) for n = 1..609</a>
%e Some solutions with n=5 k=3
%e .-2...-1...-2...-2...-2....2...-3...-2....1....3....2....2....2....3...-3...-3
%e .-2...-3....3....1....2....1....1...-1...-2...-3....1...-3....2....2....3...-2
%e .-2....3...-2....1...-3....3....2...-1...-2....2....3...-3....2...-2...-2...-2
%e .-1...-1....1....1...-2...-1...-1...-2...-1....3...-1....2...-1....3....3....1
%e ..3....1....2...-1...-1...-3....3....1...-2...-2...-2...-1....3....2....1....2
%e .-2....2....2...-1...-3....1....1...-2....2...-3....1...-2...-2....2...-3....1
%Y Row 1 is A006218
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ May 02 2011
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