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A226278 The decimal expansion of the number x > 1 defined by 2*log(x) = x-1. 0
3, 5, 1, 2, 8, 6, 2, 4, 1, 7, 2, 5, 2, 3, 3, 9, 3, 5, 3, 9, 6, 5, 4, 7, 5, 2, 3, 3, 2, 1, 8, 4, 3, 2, 6, 5, 3, 8, 3, 2, 8, 3, 3, 6, 6, 3, 4, 0, 2, 6, 4, 7, 4, 2, 2, 2, 5, 1, 7, 8, 9, 4, 5, 4, 0, 9, 6, 6, 0, 0, 9, 5, 7, 0, 8, 2, 1, 0, 3, 8, 0, 7, 0, 6, 7, 3, 2, 9, 5, 0, 1, 8, 9, 4, 5, 0, 1, 6, 9, 7, 8, 8, 4, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are two solutions to the equation 2*log(x) = x-1. {1, 3.51286..}

Apart from the leading digit the same as A201890. - R. J. Mathar, Jun 05 2013

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

x = 3.512862417252339353965475233218432653832833663402647422251789454..

MAPLE

Digits := 100; evalf([solve(2*ln(n)=n-1, n)]);

MATHEMATICA

RealDigits[x /. FindRoot[2*Log[x] == x - 1, {x, 3.5}, WorkingPrecision -> 110]][[1]]

PROG

(PARI) solve(x=3, 4, 2*log(x)-x+1) \\ Charles R Greathouse IV, Jun 05 2013

CROSSREFS

Sequence in context: A190178 A010261 A281494 * A005699 A127250 A230407

Adjacent sequences:  A226275 A226276 A226277 * A226279 A226280 A226281

KEYWORD

nonn,cons

AUTHOR

José María Grau Ribas, Jun 02 2013

STATUS

approved

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Last modified November 13 08:16 EST 2019. Contains 329085 sequences. (Running on oeis4.)