A140335 Smallest number greater than a(n-1) that, when adding the reciprocals of all the terms up to it, the sum is <= 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

Links

Table of n, a(n) for n=1..13.

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