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

Author

Stanislav Sykora, May 15 2016

Keywords

• nonn
• cons

Comments

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

Examples

			0.78754327239683701096766024053943642458945927728138840827609389960...
		

Links

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

Crossrefs

Cf. A156548, A272875, A272876.

Programs

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)