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

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, 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, 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

Offset

0,1

Comments

The real and imaginary parts giving rise to this constant are in A272875 and A272876, respectively. For more information, see A272875.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Example

0.78754327239683701096766024053943642458945927728138840827609389960...

Prog

(PARI) \\ f(x) computes (x+(x+...)^i)^i, provided that it converges:
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)}
\\ To compute this constant, use:
z0 = f(1); abs(z0)

Crossrefs

Cf. A156548, A272875, A272876.

Sequence in context: A220610 A021931 A100264 * A255685 A154192 A011283

Adjacent sequences: A272874 A272875 A272876 * A272878 A272879 A272880

Keyword

nonn,cons

Author

Stanislav Sykora, May 15 2016

Status

approved