%I A112302
%S A112302 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,
%T A112302 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,
%U A112302 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
%N A112302 Decimal expansion of sqrt(1*sqrt(2*sqrt(3*sqrt(4*...)))).
%D A112302 Collected Papers of Srinivasa Ramanujan, Ed. G. H. Hardy et al., AMS 
               Chelsea 2000. See Appendix I. p. 348.
%D A112302 S. R. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 
               2003, p. 446.
%D A112302 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).
%D A112302 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).
%H A112302 J. Sondow and J. Guillera, <a href="http://arXiv.org/abs/math.NT/0506319">
               Double integrals and infinite products for some classical constants 
               via analytic continuations of Lerch's transcendent</a>, see page 
               8.
%H A112302 J. Sondow and P. Hadjicostas, <a href="http://arXiv.org/abs/math/0610499">
               The generalized-Euler-constant function gamma(z) and a generalization 
               of Somos's quadratic recurrence constant</a>
%H A112302 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SomossQuadraticRecurrenceConstant.html">Somos's Quadratic Recurrence 
               Constant</a>
%e A112302 1.66168794963359412129581892274995074996441863502506820818971116802560902982638372790836917641146116715528134\
               550991181599795276828171736812377463142838371611149224608884060004940661943871573192180827085112693453
%o A112302 (PARI) a(n)=local(t=prodinf(k=1,k^2^-k));floor(t*10^(n-1))%10
%Y A112302 Cf. A052129, A116603, A123851, A123852, A123853, A123854.
%Y A112302 Sequence in context: A133890 A111719 A153605 this_sequence A073012 A102522 
               A105817
%Y A112302 Adjacent sequences: A112299 A112300 A112301 this_sequence A112303 A112304 
               A112305
%K A112302 cons,nonn
%O A112302 1,2
%A A112302 Michael Somos, Sep 02 2005