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- Cahen's_constant abstract "In mathematics, Cahen's constant is defined as an infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence:By considering these fractions in pairs, we can also view Cahen's constant as a series of positive unit fractions formed from the terms in even positions of Sylvester's sequence; this series for Cahen's constant forms its greedy Egyptian expansion:This constant is named after Eugène Cahen (also known for the Cahen-Mellin integral), who first formulated and investigated its series (Cahen 1891).Cahen's constant is known to be transcendental (Davison & Shallit 1991). It is notable as being one of a small number of naturally occurring transcendental numbers for which we know the complete continued fraction expansion: if we form the sequence1, 1, 2, 3, 14, 129, 25298, 420984147, ... (sequence A006279 in OEIS)defined by the recurrence relationthen the continued fraction expansion of Cahen's constant is(Davison & Shallit 1991).".
- Cahen's_constant wikiPageExternalLink cahen.txt.
- Cahen's_constant wikiPageID "7185405".
- Cahen's_constant wikiPageRevisionID "552999780".
- Cahen's_constant hasPhotoCollection Cahen's_constant.
- Cahen's_constant title "Cahen's Constant".
- Cahen's_constant urlname "CahensConstant".
- Cahen's_constant subject Category:Mathematical_constants.
- Cahen's_constant subject Category:Transcendental_numbers.
- Cahen's_constant type Abstraction100002137.
- Cahen's_constant type Cognition100023271.
- Cahen's_constant type ComplexNumber113729428.
- Cahen's_constant type Concept105835747.
- Cahen's_constant type Constant105858936.
- Cahen's_constant type Content105809192.
- Cahen's_constant type DefiniteQuantity113576101.
- Cahen's_constant type Idea105833840.
- Cahen's_constant type IrrationalNumber113730584.
- Cahen's_constant type MathematicalConstants.
- Cahen's_constant type Measure100033615.
- Cahen's_constant type Number113582013.
- Cahen's_constant type PsychologicalFeature100023100.
- Cahen's_constant type Quantity105855125.
- Cahen's_constant type RealNumber113729902.
- Cahen's_constant type TranscendentalNumber113730756.
- Cahen's_constant type TranscendentalNumbers.
- Cahen's_constant comment "In mathematics, Cahen's constant is defined as an infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence:By considering these fractions in pairs, we can also view Cahen's constant as a series of positive unit fractions formed from the terms in even positions of Sylvester's sequence; this series for Cahen's constant forms its greedy Egyptian expansion:This constant is named after Eugène Cahen (also known for the Cahen-Mellin integral), who first formulated and investigated its series (Cahen 1891).Cahen's constant is known to be transcendental (Davison & Shallit 1991). ".
- Cahen's_constant label "Cahen's constant".
- Cahen's_constant label "Cahen-Konstante".
- Cahen's_constant label "Constante de Cahen".
- Cahen's_constant sameAs Cahen-Konstante.
- Cahen's_constant sameAs Constante_de_Cahen.
- Cahen's_constant sameAs m.025vh8_.
- Cahen's_constant sameAs Q1025756.
- Cahen's_constant sameAs Q1025756.
- Cahen's_constant sameAs Cahen's_constant.
- Cahen's_constant wasDerivedFrom Cahen's_constant?oldid=552999780.
- Cahen's_constant isPrimaryTopicOf Cahen's_constant.