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A105168 Decimal expansion of real root of x^pi = e^x. +0
1
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; cons; graph; listen)
OFFSET

1,2

COMMENT

This constant connects the transcendental numbers e and pi in a novel way. Wanted: a proof that it is transcendental, or even merely irrational.

LINKS

Eric Weisstein's World of Mathematics, Pi.

Eric Weisstein's World of Mathematics, e.

Eric Weisstein's World of Mathematics, Transcendental Equation.

FORMULA

f(x) = x^pi - e^x solved numerically for f(x) = 0.

EXAMPLE

1.73989894968180900.

CROSSREFS

Cf. A000796, A001113.

Sequence in context: A139788 A093525 A139340 this_sequence A134883 A084000 A138859

Adjacent sequences: A105165 A105166 A105167 this_sequence A105169 A105170 A105171

KEYWORD

cons,easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 10 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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