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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
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
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
KEYWORD
fini,full,nonn
AUTHOR
J. Lowell, Jul 21 2008
STATUS
approved