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A105168
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Decimal expansion of real root of x^pi = e^x.
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0
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1, 7, 3, 9, 8, 9, 8, 9, 4, 9, 6, 8, 1, 8, 0, 9, 0, 0, 4, 9, 1, 1, 4, 7, 5, 8, 6, 9, 9, 7, 8, 1, 1, 1, 5, 1, 9, 3, 2, 9, 6, 8, 0, 0, 9, 3, 5, 6, 2, 4, 7, 5, 7, 4, 6, 9, 5, 8, 8, 1, 7, 1, 4, 7, 5, 6, 3, 6, 2, 7, 0, 2, 0, 6, 5, 4, 3, 7, 3, 0, 0, 1, 8, 2, 7, 4, 5, 4, 3, 4, 1, 8, 9, 5, 0, 8, 6, 9, 2, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This constant connects the transcendental numbers e and pi in a novel way. Wanted: a proof that it is transcendental, or even merely irrational.
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LINKS
| Eric Weisstein's World of Mathematics, Pi.
Eric Weisstein's World of Mathematics, e.
Eric Weisstein's World of Mathematics, Transcendental Equation.
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FORMULA
| f(x) = x^pi - e^x solved numerically for f(x) = 0.
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EXAMPLE
| 1.73989894968180900.
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CROSSREFS
| Cf. A000796, A001113.
Sequence in context: A093525 A139340 A195725 * A134883 A201329 A084000
Adjacent sequences: A105165 A105166 A105167 * A105169 A105170 A105171
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 10 2005
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