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Search: id:A049006
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| A049006 |
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Decimal expansion of i^i = exp(-Pi/2). |
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+0
12
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| 2, 0, 7, 8, 7, 9, 5, 7, 6, 3, 5, 0, 7, 6, 1, 9, 0, 8, 5, 4, 6, 9, 5, 5, 6, 1, 9, 8, 3, 4, 9, 7, 8, 7, 7, 0, 0, 3, 3, 8, 7, 7, 8, 4, 1, 6, 3, 1, 7, 6, 9, 6, 0, 8, 0, 7, 5, 1, 3, 5, 8, 8, 3, 0, 5, 5, 4, 1, 9, 8, 7, 7, 2, 8, 5, 4, 8, 2, 1, 3, 9, 7, 8, 8, 6, 0, 0, 2, 7, 7, 8, 6, 5, 4, 2, 6, 0, 3, 5
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Equals 1/A042972. - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 02 2005
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REFERENCES
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S. Uhler, On the numerical value of i^i, Amer. Math. Monthly, 28 (1921), 114-116.
Roger Penrose, "The Road to Reality, A complete guide to the Laws of the Universe", Jonathan Cape, London, 2004, page 97. [From Olivier GERARD (olivier.gerard(AT)gmail.com), May 22 2009]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
S. Plouffe, exp(-Pi/2) also i**i to 2000 digits
S. Plouffe, exp(-Pi/2) also i**i to 10000 dogits
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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0.20787957635076190854695561983497877003387...
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MATHEMATICA
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RealDigits[Re[N[I^I, 100]]][[1]]
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PROGRAM
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(PARI) { default(realprecision, 20080); x=10*exp(-Pi/2); for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b049006.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 28 2009]
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CROSSREFS
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Cf. A049007.
Sequence in context: A113319 A021832 A160509 this_sequence A011389 A021485 A019821
Adjacent sequences: A049003 A049004 A049005 this_sequence A049007 A049008 A049009
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KEYWORD
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nonn,cons
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AUTHOR
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Deepak R. N (deepak_rama(AT)bigfoot.com)
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EXTENSIONS
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Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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