A195914 a(n) = largest m such that Sum_{k=0..m} 1/(mk+1) < 2Pi.

5, 299, 40248, 6699356, 1199640415, 222209538173, 41928392459412, 8000791810720605, 1537961933686185453, 297136851932007766218, 57616626381701142703593, 11202463675353183172586907, 2182608774487516995740392959, 425930131275278060684396950683, 83225800344072649528263059652618, 16279019516889202909861702224716180, 3186898150182578894413446451622161442

Offset

0,1

Links

Table of n, a(n) for n=0..16.

R. Baillie, Fun With Very Large Numbers, arXiv preprint arXiv:1105.3943, 2011

Example

a(0) = 5 because Sum_{k=0..5} 1 < 2Pi (but 6 would be too big).

Crossrefs

Sequence in context: A140016 A282967 A291333 * A159012 A158994 A158996

Adjacent sequences: A195911 A195912 A195913 * A195915 A195916 A195917

Keyword

nonn

Author

N. J. A. Sloane, Sep 25 2011

Status

approved