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A024822 a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k. 2
2, 5, 9, 22, 31, 53, 81, 97, 134, 177, 201, 253, 311, 342, 409, 482, 561, 603, 691, 785, 885, 937, 1046, 1161, 1282, 1409, 1475, 1611, 1753, 1901, 2055, 2215, 2297, 2466, 2641, 2822, 3009, 3202, 3301, 3503, 3711, 3925, 4145, 4371, 4486, 4721 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
For a guide to related sequences, see A001000. - Clark Kimberling, Aug 07 2012
LINKS
MATHEMATICA
leastSeparator[seq_] := Module[{n = 1},
Table[While[Or @@ (Ceiling[n #1[[1]]] <
2 + Floor[n #1[[2]]] &) /@ (Sort[#1, Greater] &) /@
Partition[Take[seq, k], 2, 1], n++]; n, {k, 2, Length[seq]}]];
t = Flatten[Table[1/(3 h - 2), {h, 1, 60}]];
leastSeparator[t]
CROSSREFS
Cf. A001000.
Sequence in context: A356375 A303963 A304349 * A218966 A029726 A052962
KEYWORD
nonn
AUTHOR
EXTENSIONS
Corrected by Clark Kimberling, Aug 07 2012
STATUS
approved

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Last modified May 26 13:25 EDT 2024. Contains 372826 sequences. (Running on oeis4.)