login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Decimal expansion of the number Sum_{n>=1} ksexp(n,3/2)^(-1).
0

%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