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 A272877 Decimal expansion of the modulus of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit. 3
 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 (list; constant; graph; refs; listen; history; text; internal format)
 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

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