cp's OEIS Frontend

A272877 Decimal expansion of the modulus of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit.

%I A272877 #5 May 21 2016 23:24:30
%S A272877 7,8,7,5,4,3,2,7,2,3,9,6,8,3,7,0,1,0,9,6,7,6,6,0,2,4,0,5,3,9,4,3,6,4,
%T A272877 2,4,5,8,9,4,5,9,2,7,7,2,8,1,3,8,8,4,0,8,2,7,6,0,9,3,8,9,9,6,0,7,4,4,
%U A272877 4,6,5,6,3,3,1,5,6,6,9,4,3,1,9,2,0,3,0,4,6,6,0,9,1,7,3,6,4,6,9,5,6,9,9,1,7
%N A272877 Decimal expansion of the modulus of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit.
%C A272877 The real and imaginary parts giving rise to this constant are in A272875 and A272876, respectively. For more information, see A272875.
%H A272877 Stanislav Sykora, <a href="/A272877/b272877.txt">Table of n, a(n) for n = 0..2000</a>
%e A272877 0.78754327239683701096766024053943642458945927728138840827609389960...
%o A272877 (PARI) \\ f(x) computes (x+(x+...)^i)^i, provided that it converges:
%o A272877 f(x)={my(z=1.0,zlast=0.0,eps=10.0^(1-default(realprecision)));while(abs(z-zlast)>eps,zlast=z;z=(x+z)^I);return(z)}
%o A272877 \\ To compute this constant, use:
%o A272877 z0 = f(1); abs(z0)
%Y A272877 Cf. A156548, A272875, A272876.
%K A272877 nonn,cons
%O A272877 0,1
%A A272877 _Stanislav Sykora_, May 15 2016