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 A024842 a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k. 3
 11, 29, 55, 89, 131, 181, 253, 323, 417, 505, 621, 727, 865, 989, 1149, 1291, 1473, 1633, 1837, 2053, 2243, 2481, 2731, 2949, 3221, 3505, 3751, 4057, 4375, 4649, 4989, 5341, 5643, 6017, 6403, 6733, 7141, 7561, 7993, 8363, 8817, 9283, 9761, 10169, 10669, 11181, 11705 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS For a guide to related sequences, see A001000.  [Clark Kimberling, Aug 12 2012] LINKS Clark Kimberling, Table of n, a(n) for n = 2..100 MATHEMATICA leastSeparatorS[seq_, s_] := Module[{n = 1}, Table[While[Or @@ (Ceiling[n #1[[1]]] < s + 1 + Floor[n #1[[2]]] &) /@ (Sort[#1, Greater] &) /@ Partition[Take[seq, k], 2, 1], n++]; n, {k, 2, Length[seq]}]]; t = Map[leastSeparatorS[1/(2*Range[50]), #] &, Range[5]]; TableForm[t] t[[3]]  (* A024842 ) (* Peter Moses, Aug 6 2012 *) CROSSREFS Cf. A001000, A024841. Sequence in context: A039316 A082108 A024846 * A031072 A193880 A138248 Adjacent sequences:  A024839 A024840 A024841 * A024843 A024844 A024845 KEYWORD nonn AUTHOR STATUS approved

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