A103555 Decimal expansion of solution to x*10^x=1.

3, 9, 9, 0, 1, 2, 9, 7, 8, 2, 6, 0, 2, 5, 2, 0, 7, 1, 5, 9, 6, 4, 7, 0, 8, 1, 0, 6, 2, 4, 0, 9, 2, 0, 2, 3, 9, 9, 6, 2, 0, 1, 8, 6, 8, 4, 5, 4, 9, 6, 7, 8, 7, 4, 0, 7, 2, 1, 4, 0, 0, 9, 4, 0, 6, 4, 0, 3, 1, 8, 0, 9, 7, 7, 0, 2, 5, 3, 4, 8, 8, 6, 3, 1, 2, 1, 7, 6, 2, 3, 7, 5, 7, 8, 5, 3, 0, 1, 5, 3, 0, 2, 2, 4, 8

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

x = 0.3990129782602520715964708106240920239962... ; x*10^x=1.

Maple

read("transforms3") ; Digits := 120 ; x := 0.4 ; for l from 1 to 10 do x := x-(x-10^(-x))/(1+x*log(10)) : x := evalf(x) ; end do; CONSTTOLIST(x) ; # R. J. Mathar, Mar 23 2010

Mathematica

RealDigits[x/.FindRoot[x 10^x==1, {x, .39}, WorkingPrecision->150]][[1]] (* Harvey P. Dale, Jun 21 2012 *)
RealDigits[ ProductLog[Log[10]] / Log[10], 10, 105][[1]] (* Jean-François Alcover, Jan 28 2014 *)

Prog

(PARI) solve(x=0, 1, x*10^x-1) \\ Charles R Greathouse IV, Jun 08 2015

Crossrefs

Sequence in context: A302630 A128686 A161574 * A360178 A157349 A159811

Adjacent sequences: A103552 A103553 A103554 * A103556 A103557 A103558

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More digits from R. J. Mathar, Mar 23 2010

Status

approved