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A092515 Decimal expansion of e^(1/6). 3
1, 1, 8, 1, 3, 6, 0, 4, 1, 2, 8, 6, 5, 6, 4, 5, 9, 8, 0, 3, 0, 5, 1, 1, 2, 1, 5, 2, 5, 0, 7, 1, 8, 4, 3, 2, 7, 8, 3, 0, 1, 8, 9, 3, 1, 0, 8, 3, 8, 9, 6, 3, 7, 9, 7, 8, 5, 6, 1, 9, 4, 2, 8, 0, 2, 2, 6, 4, 5, 5, 2, 8, 5, 5, 9, 2, 2, 9, 7, 4, 5, 6, 6, 2, 3, 6, 6, 9, 7, 3, 8, 5, 0, 4, 4, 2, 7, 6, 3, 1, 9, 1, 7, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
e^(1/6) maximizes the value of x^(c/(x^6)) for any real positive constant c, and minimizes for it for a negative constant, on the range x > 0. - A.H.M. Smeets, Aug 16 2018
LINKS
FORMULA
Equals lim_{x->0} (sinh(x)/x)^(1/x^2). - Amiram Eldar, Jul 04 2022
EXAMPLE
1.18136041286564598030511215250718432783018931083896...
MAPLE
evalf(exp(1/6)); # Muniru A Asiru, Aug 16 2018
MATHEMATICA
RealDigits[E^(1/6), 10, 120][[1]] (* Harvey P. Dale, Sep 13 2011 *)
PROG
(PARI) exp(1/6) \\ Michel Marcus, Aug 16 2018
CROSSREFS
Cf. A001113, A019774, A092727 (reciprocal).
Sequence in context: A196932 A199278 A011391 * A193032 A127454 A093602
KEYWORD
cons,nonn
AUTHOR
Mohammad K. Azarian, Apr 05 2004
STATUS
approved

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Last modified May 1 13:51 EDT 2024. Contains 372174 sequences. (Running on oeis4.)