| 1, 6, 6, 1, 6, 8, 7, 9, 4, 9, 6, 3, 3, 5, 9, 4, 1, 2, 1, 2, 9, 5, 8, 1, 8, 9, 2, 2, 7, 4, 9, 9, 5, 0, 7, 4, 9, 9, 6, 4, 4, 1, 8, 6, 3, 5, 0, 2, 5, 0, 6, 8, 2, 0, 8, 1, 8, 9, 7, 1, 1, 1, 6, 8, 0, 2, 5, 6, 0, 9, 0, 2, 9, 8, 2, 6, 3, 8, 3, 7, 2, 7, 9, 0, 8, 3, 6, 9, 1, 7, 6, 4, 1, 1, 4, 6, 1, 1, 6, 7, 1, 5, 5, 2, 8
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Collected Papers of Srinivasa Ramanujan, Ed. G. H. Hardy et al., AMS Chelsea 2000. See Appendix I. p. 348.
S. R. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 2003, p. 446.
J. Guillera and J. Sondow, Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent, Ramanujan J. (to appear).
J. Sondow and P. Hadjicostas, The generalized-Euler-constant function gamma(z) and a generalization of Somos's quadratic recurrence constant, J. Math. Anal. Appl. (to appear).
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LINKS
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J. Sondow and J. Guillera, Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent, see page 8.
J. Sondow and P. Hadjicostas, The generalized-Euler-constant function gamma(z) and a generalization of Somos's quadratic recurrence constant
Eric Weisstein's World of Mathematics, Somos's Quadratic Recurrence Constant
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EXAMPLE
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1.66168794963359412129581892274995074996441863502506820818971116802560902982638372790836917641146116715528134550991181599795276828171736812377463142838371611149224608884060004940661943871573192180827085112693453
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PROGRAM
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(PARI) a(n)=local(t=prodinf(k=1, k^2^-k)); floor(t*10^(n-1))%10
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CROSSREFS
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Cf. A052129, A116603, A123851, A123852, A123853, A123854.
Sequence in context: A133890 A111719 A153605 this_sequence A073012 A102522 A105817
Adjacent sequences: A112299 A112300 A112301 this_sequence A112303 A112304 A112305
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KEYWORD
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cons,nonn
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AUTHOR
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Michael Somos, Sep 02 2005
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