Voozh

A024847

a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.

8, 34, 76, 134, 208, 298, 404, 526, 664, 818, 1009, 1198, 1427, 1651, 1918, 2176, 2481, 2773, 3116, 3442, 3823, 4183, 4602, 4996, 5453, 5881, 6376, 6838, 7371, 7867, 8438, 8969, 9578, 10207, 10791, 11458, 12145, 12781, 13506, 14251, 14939, 15722, 16525, 17265

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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]}]];