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A322910
The lesser of the two solutions to x - log(x) = e.
0
7, 0, 8, 3, 1, 5, 8, 6, 4, 0, 9, 0, 7, 8, 5, 1, 4, 6, 3, 3, 0, 8, 6, 2, 4, 9, 2, 0, 6, 2, 4, 7, 2, 5, 4, 1, 9, 7, 9, 4, 9, 7, 1, 6, 6, 1, 9, 7, 6, 2, 8, 9, 1, 9, 1, 2, 9, 3, 5, 3, 9, 9, 8, 3, 8, 2, 6, 4, 6, 8, 4, 2, 7, 7, 6, 2, 4, 8, 1, 0, 0, 1, 9, 2, 3, 3, 1, 4, 4, 9, 5, 2, 3, 7, 8, 3, 9, 0, 2, 6, 2, 5, 2, 3, 9
OFFSET
-1,1
COMMENTS
Companion sequence to A226574.
A226574 = 4.1386519474... is the greater one.
FORMULA
Equals -LambertW(-exp(-e)).
EXAMPLE
0.0708315864090785146330862492062472541979...
MATHEMATICA
RealDigits[-ProductLog[-E^-E], 10, 100][[1]] (* Amiram Eldar, Jan 11 2019 *)
PROG
(PARI) default(realprecision, 100); solve(x=0.01, 1, x - log(x) - exp(1))
CROSSREFS
Cf. A226574.
Cf. also A001113, A202348, A226572.
Sequence in context: A341484 A117013 A176015 * A198939 A290372 A190410
KEYWORD
nonn,cons
AUTHOR
Jianing Song, Dec 30 2018
EXTENSIONS
Typo in name corrected by Mark Andreas, Jan 14 2022
STATUS
approved