A079587 - OEIS

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A079587

Continued fraction expansion of Sum_{k>=1} 1/F(k) where F(k) is the k-th Fibonacci number A000045(k).

1

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..96.

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

Wikipedia, Reciprocal Fibonacci constant

FORMULA

3.35988566624....

CROSSREFS

Cf. A079586 (decimal expansion), 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

EXTENSIONS

Offset changed by Andrew Howroyd, Jul 06 2024

STATUS

approved