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 A140335 Smallest number greater than a(n-1) that, when adding the reciprocals of all the terms up to it, the sum is <= 3. 3
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 230, 57960 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The definition similar to this except that it reaches 2 is simply 1, 2, 3, 6. The sequence ends at a(13) because Sum_{n=1..13} 1/a(n) = 3. - Joerg Arndt, Sep 06 2019 LINKS EXAMPLE 11 does not qualify for the term after 10 because the sum of the reciprocals of the first 11 terms would then fall between 3.01 and 3.02. CROSSREFS Cf. A281873 (sum <= 4). Sequence in context: A239616 A231848 A200373 * A004839 A032993 A081385 Adjacent sequences:  A140332 A140333 A140334 * A140336 A140337 A140338 KEYWORD fini,full,nonn AUTHOR J. Lowell, Jul 21 2008 STATUS approved

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Last modified January 27 18:06 EST 2022. Contains 350611 sequences. (Running on oeis4.)