A085674 - OEIS

%I #14 Aug 06 2024 05:21:41

%S 4,7,5,6,3,5,3,8,9,5,3,7,9,8,9,7,0,8,7,5,5,3,5,9,4,9,5,3,1,9,7,3,7,1,

%T 2,2,3,2,7,1,4,4,8,8,4,3,1,3,3,3,1,0,7,2,2,7,6,4,6,5,2,4,4,4,6,4,5,5,

%U 2,6,3,1,9,8,2,9,0,2,9,6,1,8,9,1,3,8,8,1,7,2,0,6,2,3,3,1,3,9,9

%N Decimal expansion of log(1 + log(1 + log(1 + log(1 + e)))).

%H Jens Blanck, <a href="https://doi.org/10.1007/3-540-45335-0_24">Exact real arithmetic systems: results of competition</a>, pp. 389-393 of J. Blanck et al., eds., Computability and Complexity in Analysis (CCA 2000), Lect. Notes Computer Science, Springer-Verlag, 2001; <a href="https://citeseerx.ist.psu.edu/pdf/995022a4b87d399debf7b5bda0b52a3615a8499f">alternative link</a>.

%e 0.47563538953798970875535949531973712232714488431333...

%t RealDigits[Log[1 + Log[1 + Log[1 + Log[1 + E]]]], 10, 120][[1]] (* _Amiram Eldar_, Jun 08 2023 *)

%o (PARI) log(1 + log(1 + log(1 + log(1 + exp(1))))) \\ _Charles R Greathouse IV_, Apr 01 2014

%Y Cf. A085671, A085672, A085673.

%K cons,nonn

%O 0,1

%A _N. J. A. Sloane_, Jul 15 2003