A212480 Decimal expansion of the argument of infinite power tower of i.
6, 8, 8, 4, 5, 3, 2, 2, 7, 1, 0, 7, 7, 0, 2, 1, 3, 0, 4, 9, 8, 7, 6, 7, 5, 7, 1, 1, 7, 6, 8, 2, 4, 2, 5, 9, 6, 0, 8, 0, 9, 5, 4, 4, 3, 2, 3, 2, 2, 2, 3, 1, 3, 5, 5, 2, 8, 6, 8, 6, 9, 2, 3, 2, 1, 0, 4, 4, 9, 7, 0, 7, 3, 0, 1, 9, 4, 0, 3, 2, 7, 4, 3, 8, 3, 5, 2, 5, 7, 3, 1, 1, 0, 2, 3, 0, 1, 6, 5, 8, 9, 7, 0, 3, 0, 8, 1, 5
Offset: 0
Examples
0.6884532271077021304987675711768242596 ...
Links
- Eric Weisstein's World of Mathematics, Power Tower
Crossrefs
Programs
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Mathematica
2*I*ProductLog[-I*Pi/2]/Pi // Arg // N[#, 108]& // RealDigits[#][[1]]& (* Jean-François Alcover, Feb 05 2013 *)
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PARI
\\ start with I^(0.4+0.4*I) and iterate (%+I^%)/2. It converges pretty rapidly to z.
Formula
c = arg(i^i^i^...).
Comments