A092515 Decimal expansion of e^(1/6).

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

Offset: 1

Author

Mohammad K. Azarian, Apr 05 2004

Keywords

• cons
• nonn

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

Examples

			1.18136041286564598030511215250718432783018931083896...
		

Links

• Muniru A Asiru, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A001113, A019774, A092727 (reciprocal).

Programs

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 *)

PARI

exp(1/6) \\ Michel Marcus, Aug 16 2018

Formula

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