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%I #17 Apr 20 2018 00:47:05
%S 1,6,8,7,6,3,5,2,1,5,1,1,9,1,1,2,4,6,5,5,1,8,8,9,4,9,7,2,8,2,4,3
%N Decimal expansion of the number Sum_{n>=1} ksexp(n,3/2)^(-1).
%C The function 'ksexp' is the n-base Kneser tetration, see references below.
%D Hellmuth Kneser, Reelle analytische Lösungen der Gleichung phi(phi(x))=e^x und verwandter Funktionalgleichungen. J. Reine Angew. Math., 187 (1949), 56-67.
%D H. Trappmann & D. Kouznetsov, Uniqueness of Holomorphic Superlogarithms (2009)
%H Sheldon Levenstein, <a href="http://math.eretrandre.org/tetrationforum/attachment.php?aid=997">Fast accurate Kneser superexponential algorithm</a>
%e 1.687635215119112465518894...
%o (PARI) \\ Download the algorithm for ksexp (see the link)
%o \r kneserquiet.gp; \\ Load the algorithm
%o b(i)=init(i); sexp(3/2)
%o return(1+sumalt(i=1,1/b(i)));
%K nonn,cons,more
%O 1,2
%A _Balarka Sen_, Apr 25 2013