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- Reciprocal_Fibonacci_constant abstract "The reciprocal Fibonacci constant, or ψ, is defined as the sum of the reciprocals of the Fibonacci numbers:The ratio of successive terms in this sum tends to the reciprocal of the golden ratio. Since this is less than 1, the ratio test shows that the sum converges.The value of ψ is known to be approximately(sequence A079586 in OEIS)No closed formula for ψ is known, but Gosper describes an algorithm for fast numerical approximation of its value. The reciprocal Fibonacci series itself provides O(k) digits of accuracy for k terms of expansion, while Gosper's accelerated series provides O(k2) digits.ψ is known to be irrational; this property was conjectured by Paul Erdős, Ronald Graham, and Leonard Carlitz, and proved in 1989 by Richard André-Jeannin.The continued fraction representation of the constant is: (sequence A079587 in OEIS)".
- Reciprocal_Fibonacci_constant wikiPageID "11827553".
- Reciprocal_Fibonacci_constant wikiPageRevisionID "577994139".
- Reciprocal_Fibonacci_constant hasPhotoCollection Reciprocal_Fibonacci_constant.
- Reciprocal_Fibonacci_constant title "Reciprocal Fibonacci Constant".
- Reciprocal_Fibonacci_constant urlname "ReciprocalFibonacciConstant".
- Reciprocal_Fibonacci_constant subject Category:Fibonacci_numbers.
- Reciprocal_Fibonacci_constant subject Category:Mathematical_constants.
- Reciprocal_Fibonacci_constant type Abstraction100002137.
- Reciprocal_Fibonacci_constant type Amount105107765.
- Reciprocal_Fibonacci_constant type Attribute100024264.
- Reciprocal_Fibonacci_constant type Cognition100023271.
- Reciprocal_Fibonacci_constant type Concept105835747.
- Reciprocal_Fibonacci_constant type Constant105858936.
- Reciprocal_Fibonacci_constant type Content105809192.
- Reciprocal_Fibonacci_constant type FibonacciNumbers.
- Reciprocal_Fibonacci_constant type Idea105833840.
- Reciprocal_Fibonacci_constant type Magnitude105090441.
- Reciprocal_Fibonacci_constant type MathematicalConstants.
- Reciprocal_Fibonacci_constant type Number105121418.
- Reciprocal_Fibonacci_constant type Property104916342.
- Reciprocal_Fibonacci_constant type PsychologicalFeature100023100.
- Reciprocal_Fibonacci_constant type Quantity105855125.
- Reciprocal_Fibonacci_constant comment "The reciprocal Fibonacci constant, or ψ, is defined as the sum of the reciprocals of the Fibonacci numbers:The ratio of successive terms in this sum tends to the reciprocal of the golden ratio. Since this is less than 1, the ratio test shows that the sum converges.The value of ψ is known to be approximately(sequence A079586 in OEIS)No closed formula for ψ is known, but Gosper describes an algorithm for fast numerical approximation of its value.".
- Reciprocal_Fibonacci_constant label "Constante de los inversos de Fibonacci".
- Reciprocal_Fibonacci_constant label "Reciprocal Fibonacci constant".
- Reciprocal_Fibonacci_constant sameAs Constante_de_los_inversos_de_Fibonacci.
- Reciprocal_Fibonacci_constant sameAs m.02rtt_3.
- Reciprocal_Fibonacci_constant sameAs Q3772671.
- Reciprocal_Fibonacci_constant sameAs Q3772671.
- Reciprocal_Fibonacci_constant sameAs Reciprocal_Fibonacci_constant.
- Reciprocal_Fibonacci_constant wasDerivedFrom Reciprocal_Fibonacci_constant?oldid=577994139.
- Reciprocal_Fibonacci_constant isPrimaryTopicOf Reciprocal_Fibonacci_constant.