A079587 Continued fraction expansion of sum(k>=1,1/F(k)) where F(k) is the k-th Fibonacci number A000045(k).

3, 2, 1, 3, 1, 1, 13, 2, 3, 3, 2, 1, 1, 6, 3, 2, 4, 362, 2, 4, 8, 6, 30, 50, 1, 6, 3, 3, 2, 7, 2, 3, 1, 3, 2, 1, 1, 1, 1, 3, 4, 1, 1, 1, 172, 3, 26, 1, 18, 8, 2, 1, 1, 2, 8, 2, 72, 2, 3, 1, 1, 1, 1, 5, 2, 33, 1, 2, 52, 1, 3, 5, 1, 11, 1, 1, 3, 13, 2, 2, 4, 2, 14, 4, 1, 1, 10, 4, 4, 3, 5, 17, 3, 4, 2, 4, 1

Offset

1,1

Links

Table of n, a(n) for n=1..97.

Eric Weisstein's World of Mathematics, Reciprocal Fibonacci Constant.

Wikipedia, Reciprocal Fibonacci constant

Formula

3.35988566624....

Crossrefs

Cf. A079586, A153386, A153387.

Sequence in context: A175947 A085068 A265027 * A237881 A112745 A205564

Adjacent sequences: A079584 A079585 A079586 * A079588 A079589 A079590

Keyword

cofr,nonn

Author

Benoit Cloitre, Jan 26 2003

Status

approved