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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

%I #11 Sep 06 2019 03:51:48

%S 1,2,3,4,5,6,7,8,9,10,15,230,57960

%N Smallest number greater than a(n-1) that, when adding the reciprocals of all the terms up to it, the sum is <= 3.

%C The definition similar to this except that it reaches 2 is simply 1, 2, 3, 6.

%C The sequence ends at a(13) because Sum_{n=1..13} 1/a(n) = 3. - _Joerg Arndt_, Sep 06 2019

%e 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.

%Y Cf. A281873 (sum <= 4).

%K fini,full,nonn

%O 1,2

%A _J. Lowell_, Jul 21 2008

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Last modified August 26 13:58 EDT 2024. Contains 375456 sequences. (Running on oeis4.)