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

Author

J. Lowell, Jul 21 2008

Keywords

• fini
• full
• nonn

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

Examples

			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).