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A103552
Decimal expansion of solution to x*7^x = 1.
6
4, 3, 1, 6, 9, 4, 1, 2, 6, 4, 9, 5, 8, 7, 8, 0, 1, 0, 4, 2, 6, 1, 6, 7, 0, 9, 8, 9, 1, 6, 3, 5, 1, 6, 8, 1, 9, 4, 5, 9, 0, 1, 8, 1, 2, 6, 4, 6, 4, 2, 2, 1, 9, 7, 5, 6, 5, 9, 2, 2, 9, 7, 4, 6, 7, 8, 0, 2, 3, 3, 2, 5, 2, 4, 3, 9, 4, 5, 6, 8, 8, 2, 3, 0, 3, 6, 5, 0, 0, 9, 8, 3, 8, 6, 0, 9, 8, 8, 6, 3, 4, 9, 0, 0, 1, 0
OFFSET
0,1
LINKS
FORMULA
x*7^x = 1.
x = (1/7)^(1/7)^(1/7)^... = LambertW(log(7))/log(7). - Alois P. Heinz, Dec 03 2014
EXAMPLE
0.43169412649587801042616709891635168194590181264642...
MAPLE
x:= LambertW(log(7))/log(7):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..119); # Alois P. Heinz, Dec 03 2014
MATHEMATICA
RealDigits[ProductLog[Log[7]]/Log[7], 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