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A092041 Decimal expansion of cube root of e. 6
1, 3, 9, 5, 6, 1, 2, 4, 2, 5, 0, 8, 6, 0, 8, 9, 5, 2, 8, 6, 2, 8, 1, 2, 5, 3, 1, 9, 6, 0, 2, 5, 8, 6, 8, 3, 7, 5, 9, 7, 9, 0, 6, 5, 1, 5, 1, 9, 9, 4, 0, 6, 9, 8, 2, 6, 1, 7, 5, 1, 6, 7, 0, 6, 0, 3, 1, 7, 3, 9, 0, 1, 5, 6, 4, 5, 9, 5, 1, 8, 4, 6, 9, 6, 9, 7, 8, 8, 8, 1, 7, 2, 9, 5, 8, 3, 0, 2, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

e^(1/3) maximizes the value of x^(c/(x^3)) 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

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

729/1552*(1 + Sum_{n>=1} (1 + n^5/3 + n/3)/(3^n*n!)). - Alexander R. Povolotsky, Sep 13 2011

e^(1/3) = 1/2*( 1 +(4 +(7 +(10 +...)/9)/6)/3 ) = 1 +(1 +(1 +(1 +...)/9)/6)/3. - Rok Cestnik, Jan 19 2017

EXAMPLE

1.3956124...

MAPLE

evalf(root[3](exp(1))) ; # R. J. Mathar, Oct 03 2011

MATHEMATICA

RealDigits[E^(1/3), 10, 100][[1]] (* Alonso del Arte, Sep 13 2011 *)

PROG

(PARI) exp(1/3) \\ Charles R Greathouse IV, Sep 14 2011

CROSSREFS

Cf. A001113, A019774, A091933.

Sequence in context: A085851 A212321 A306552 * A317904 A320960 A193075

Adjacent sequences:  A092038 A092039 A092040 * A092042 A092043 A092044

KEYWORD

nonn,cons

AUTHOR

Mohammad K. Azarian, Mar 27 2004

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)