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A092515 Decimal expansion of e^(1/6). 3

%I #22 Jul 04 2022 04:39:07

%S 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,

%T 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,

%U 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

%N Decimal expansion of e^(1/6).

%C 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

%H Muniru A Asiru, <a href="/A092515/b092515.txt">Table of n, a(n) for n = 1..2000</a>

%F Equals lim_{x->0} (sinh(x)/x)^(1/x^2). - _Amiram Eldar_, Jul 04 2022

%e 1.18136041286564598030511215250718432783018931083896...

%p evalf(exp(1/6)); # _Muniru A Asiru_, Aug 16 2018

%t RealDigits[E^(1/6),10,120][[1]] (* _Harvey P. Dale_, Sep 13 2011 *)

%o (PARI) exp(1/6) \\ _Michel Marcus_, Aug 16 2018

%Y Cf. A001113, A019774, A092727 (reciprocal).

%K cons,nonn

%O 1,3

%A _Mohammad K. Azarian_, Apr 05 2004

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