A071867 Maximum element in the continued fraction for prime(n+1)/prime(n).

2, 2, 2, 3, 5, 4, 8, 4, 5, 14, 6, 9, 20, 10, 7, 8, 29, 10, 16, 35, 12, 19, 13, 11, 24, 50, 25, 53, 27, 14, 31, 21, 68, 13, 74, 25, 26, 40, 27, 28, 89, 18, 95, 48, 98, 16, 17, 55, 113, 57, 38, 119, 24, 41, 42, 43, 134, 45, 69, 140, 28, 20, 76, 155, 78, 22, 55, 33, 173, 87, 58

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

prime(5)/prime(4) = 11/7, the continued fraction of 11/7 is [1, 1, 1, 3], hence a(4) = 3.

Mathematica

Table[Max[ContinuedFraction[Prime[n+1]/Prime[n]]], {n, 80}] (* Harvey P. Dale, Dec 24 2015 *)

Prog

(PARI) for(n=1, 200, print1(vecmax(contfrac(prime(n+1)/prime(n))), ", "))

Crossrefs

Cf. A071866.

Sequence in context: A182534 A165918 A114639 * A126337 A322261 A304718

Adjacent sequences: A071864 A071865 A071866 * A071868 A071869 A071870

Keyword

easy,nonn

Author

Benoit Cloitre, Jun 09 2002

Status

approved