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Search: id:A093590
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| A093590 |
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Decimal expansion of the number x defined by x^x=16. |
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+0
2
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| 2, 7, 4, 5, 3, 6, 8, 0, 2, 3, 5, 6, 7, 4, 6, 3, 4, 8, 4, 7, 0, 9, 8, 4, 9, 2, 8, 9, 5, 5, 1, 2, 0, 3, 8, 4, 4, 7, 1, 1, 0, 7, 7, 4, 8, 7, 7, 9, 2, 4, 1, 8, 0, 5, 3, 0, 6, 3, 1, 9, 9, 2, 5, 1, 3, 8, 9, 5, 2, 0, 4, 8, 2, 6, 5, 6, 7, 5, 9, 4, 1, 0, 6, 8, 4, 0, 5, 0, 4, 8, 9, 1, 0, 2, 1, 5, 4, 2, 6, 3, 9, 9, 5, 6, 2
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is a kind of mean of 2 and 4 because 2^4=4^2=16.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
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FORMULA
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4*ln(2)/LambertW(4*ln(2)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 11 2004
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EXAMPLE
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a(0)=2 because 2^2<16<3^3.
2.745368023567463484709849289551203844711077487792418053063199251389520482656759410684050489102154263....
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MATHEMATICA
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RealDigits[ Log[16]/ProductLog[ Log[16]], 10, 111][[1]] (from Robert G. Wilson v Apr 24 2004)
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PROGRAM
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(PARI) { default(realprecision, 20080); x=solve(x=2, 3, x^x - 16); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b093590.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 19 2009]
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CROSSREFS
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Sequence in context: A066766 A145433 A055200 this_sequence A065629 A049249 A132724
Adjacent sequences: A093587 A093588 A093589 this_sequence A093591 A093592 A093593
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KEYWORD
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nonn,cons
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AUTHOR
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David C. Smith (extra314(AT)hotmail.com), Apr 02 2004
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