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A103556
Decimal expansion of solution to x*11^x = 1.
5
3, 9, 1, 2, 9, 6, 8, 3, 6, 4, 7, 6, 5, 7, 6, 6, 8, 7, 3, 6, 4, 5, 3, 3, 4, 6, 4, 3, 3, 6, 8, 6, 8, 9, 0, 9, 6, 5, 2, 6, 6, 7, 7, 5, 4, 9, 8, 1, 9, 8, 7, 7, 8, 3, 3, 4, 4, 8, 7, 2, 4, 3, 0, 5, 4, 5, 1, 6, 5, 2, 2, 8, 9, 0, 9, 8, 0, 8, 6, 4, 0, 1, 2, 4, 8, 1, 6, 3, 9, 6, 1, 7, 6, 6, 9, 0, 4, 2, 7, 1, 6, 1, 1, 8, 2, 4
OFFSET
0,1
FORMULA
x*11^x = 1.
x = (1/11)^(1/11)^(1/11)^... = LambertW(log(11))/log(11). - Alois P. Heinz, Dec 03 2014
EXAMPLE
0.39129683647657668736453346433686890965266775498198...
MAPLE
x:= LambertW(log(11))/log(11):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..123); # Alois P. Heinz, Dec 03 2014
MATHEMATICA
RealDigits[ProductLog[Log[11]]/Log[11], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)
KEYWORD
nonn,cons
AUTHOR
Zak Seidov, Mar 23 2005
EXTENSIONS
More terms from Alois P. Heinz, Dec 03 2014
STATUS
approved