%I A111861
%S A111861 1,2,2,5,2,4,4,4,2,4,4,4,3,4,3,7,2,4,3,4,2,7,3,4,3,4,3,4,4,4,4,4,2,6,3,
%T A111861 5,4,4,3,6,3,4,4,4,2,6,3,4,3,4,3,6,2,4,3,6,2,6,3,4,5,4,3,4,2,5,6,4,3,6,
%U A111861 4,4,2,4,3,6,2,5,6,4,2,4,3,4,3,5,3,6,2,4,4,6,3,6,3,5,3,4,3,4,3,4,4,4,2
%N A111861 a(n) is the number of integers of the form (n+k)/(n-k)^2 for k>0.
%C A111861 First occurrence of n [0,500] is at a(k): 0,1,12,5,3,33,15,210,105, ..., 
               . - Robert G. Wilson v (rgwv(at)rgwv.com), Nov 23 2005
%e A111861 For n=14 we have integer value for the form when k={13; 15; 18} and (14+k)/
               (14-k)^2 = {27, 29, 2}. Thus a(14) = 3
%t A111861 f[n_] := Length[Select[(n + #)/(n - #)^2 & /@ Range[n^2 + 3], IntegerQ[ 
               # ] &]]; Array[f, 105] (* Robert G. Wilson v *)
%Y A111861 Cf. A111150, A111164.
%Y A111861 Sequence in context: A133501 A124316 A061034 this_sequence A004543 A153078 
               A076200
%Y A111861 Adjacent sequences: A111858 A111859 A111860 this_sequence A111862 A111863 
               A111864
%K A111861 easy,nonn
%O A111861 1,2
%A A111861 Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Nov 22 2005
%E A111861 Corrected and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Nov 
               23 2005