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A006518 Continued fraction for Sum_{k >= 2} 2^(-Fibonacci(k)).
(Formerly M4677)
+0
1
0, 1, 10, 6, 1, 6, 2, 14, 4, 124, 2, 1, 2, 2039, 1, 9, 1, 1, 1, 262111, 2, 8, 1, 1, 1, 3, 1, 536870655, 4, 16, 3, 1, 3, 7, 1, 140737488347135, 8, 128, 2, 1, 1, 1, 7, 2, 1, 9, 1 (list; graph; listen)
OFFSET

0,3

REFERENCES

A. J. van der Poorten and J. O. Shallit, A specialised continued fraction, Canad. J. Math., 45 (1993), 1067-1079.

LINKS

A. J. van der Poorten, Continued fractions of formal power series

A. J. van der Poorten and J. O. Shallit, A specialised continued fraction, Canad. J. Math., 45 (1993), 1067-1079.

G. Xiao, Contfrac

Index entries for continued fractions for constants

FORMULA

Interestingly, a(13)=2^11-2^3-1, a(19)=2^18-2^5-1, a(27)=2^29-2^8-1, a(35)=2^47-2^13-1. - R. Stephan, Jun 07 2005

CROSSREFS

Adjacent sequences: A006515 A006516 A006517 this_sequence A006519 A006520 A006521

Sequence in context: A038307 A094260 A010171 this_sequence A102690 A076366 A105155

KEYWORD

nonn,cofr

AUTHOR

njas

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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