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Search: id:A073084
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| A073084 |
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Decimal expansion of -x, where x is the negative solution to the equation 2^x = x^2. |
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+0
2
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| 7, 6, 6, 6, 6, 4, 6, 9, 5, 9, 6, 2, 1, 2, 3, 0, 9, 3, 1, 1, 1, 2, 0, 4, 4, 2, 2, 5, 1, 0, 3, 1, 4, 8, 4, 8, 0, 0, 6, 6, 7, 5, 3, 4, 6, 6, 6, 9, 8, 3, 2, 0, 5, 8, 4, 6, 0, 8, 8, 4, 3, 7, 6, 9, 3, 5, 5, 5, 2, 7, 9, 5, 7, 2, 4, 8, 7, 2, 4, 2, 2, 8, 5, 3, 0, 2, 9, 2, 0, 9, 6, 9, 7, 9, 0, 2, 5, 3, 0, 5, 6, 5, 4, 7, 9
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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The equation has three solutions, x = 2, 4 & -0.76666469596212309311120442251031484800...
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REFERENCES
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"Angela" (R. J. Milazzo, rgmilazzo(AT)aol.com), Posting to the sci.math usenet Aug 17, 2002.
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LINKS
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Eric Weisstein's World of Mathematics, Power
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FORMULA
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-2*ProductLog[Log[2]/2]/Log[2]. - Eric Weisstein, Jan 23 2005
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MATHEMATICA
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RealDigits[NSolve[2^x == x^2, x, WorkingPrecision -> 150][[1, 1]][[2]]][[1]]
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CROSSREFS
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Sequence in context: A109696 A110948 A103616 this_sequence A011473 A021570 A093349
Adjacent sequences: A073081 A073082 A073083 this_sequence A073085 A073086 A073087
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KEYWORD
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nonn,cons
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 17 2002
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EXTENSIONS
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Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009
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