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About: Somos' quadratic recurrence constant     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatMathematicalConstantsyago:Abstraction100002137yago:Cognition100023271yago:Concept105835747yago:Constant105858936yago:Content105809192yago:Idea105833840yago:PsychologicalFeature100023100yago:Quantity105855125 New Facet based on Instances of this Class

In mathematics, Somos' quadratic recurrence constant, named after Michael Somos, is the number This can be easily re-written into the far more quickly converging product representation which can then be compactly represented in infinite-product form by: The constant σ arises when studying the asymptotic behaviour of the sequence with first few terms 1, 1, 2, 12, 576, 1658880 ... (sequence in the OEIS). This sequence can be shown to have asymptotic behaviour as follows: Guillera and Sondow give a representation in terms of the derivative of the Lerch transcendent: Finally, (sequence in the OEIS).