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A059527
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Decimal expansion of imaginary part of solution to z = log z.
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1
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1, 3, 3, 7, 2, 3, 5, 7, 0, 1, 4, 3, 0, 6, 8, 9, 4, 0, 8, 9, 0, 1, 1, 6, 2, 1, 4, 3, 1, 9, 3, 7, 1, 0, 6, 1, 2, 5, 3, 9, 5, 0, 2, 1, 3, 8, 4, 6, 0, 5, 1, 2, 4, 1, 8, 8, 7, 6, 3, 1, 2, 7, 8, 1, 9, 1, 4, 3, 5, 0, 5, 3, 1, 3, 6, 1, 2, 0, 4, 9, 8, 8, 4, 1, 8, 8, 8, 1, 3, 2, 3, 4, 3, 8, 7, 9, 4, 0, 1, 5, 6, 1, 0, 3, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Repeatedly take logs, starting from any number not equal to 0, 1, e, e^e, e^(e^e), etc. and you will converge to 0.31813150... + 1.33723570...*I.
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REFERENCES
| Wolfram Research, Mathematica, Version 4.1.0.0, Help Browser, under the function FixedPoint.
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EXAMPLE
| R(x)=0.31813150520476413531265425158766451720351761387139986692237... + 1.33723570143068940890116214319371061253950213846051241887631... *i.
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MATHEMATICA
| RealDigits[ Im[ N[ FixedPoint[ Log, 1 + I, 910], 105]]] [[1]]
RealDigits[ N[ Im[ ProductLog[-1]], 105]][[1]] (* From Jean-François Alcover, Feb 01 2012 *)
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CROSSREFS
| Real part is A059526.
Sequence in context: A066358 A114187 A118031 * A101457 A076217 A089488
Adjacent sequences: A059524 A059525 A059526 * A059528 A059529 A059530
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KEYWORD
| cons,nonn,nice,changed
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AUTHOR
| Fabian Rothelius (fabian.rothelius(AT)telia.com), Jan 21 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 26 2001
Edited and extended by Robert G. Wilson v (kspaint.com), Aug 22 2002
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