A092041 - OEIS

A092041

Decimal expansion of cube root of e.

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

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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

Index entries for transcendental numbers

FORMULA

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

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

Equals lim_{x->0} (tan(x)/x)^(1/x^2). - Amiram Eldar, Jul 04 2022

EXAMPLE

1.39561242508608952862812531960258683759790651519940...

MAPLE

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

MATHEMATICA