A177346 - OEIS

%I #22 Jul 04 2023 23:11:38

%S 1,3,8,7,4,2,5,8,8,6,7,2,2,7,9,3,1,1,0,6,6,6,2,9,7,8,4,8,1,4,4,2,3,9,

%T 5,1,1,2,3,9,8,5,1,7,1,3,1,0,8,4,0,5,6,0,8,9,5,2,5,0,1,6,1,7,5,9,7,5,

%U 3,1,4,7,9,5,4,6,4,1,2,7,4,0,4,4,8,0,8,2,7,0,2,7,9,3,1,0,0,0,9,8,3,9,5,7,8

%N Decimal expansion of (1+sqrt(10))/3.

%C Continued fraction expansion of (1+sqrt(10))/3 is A131534.

%C A root of x - 1/x = 2/3. - _Gary W. Adamson_, May 18 2023

%F Equals exp(arcsinh(1/3)). - _Gary W. Adamson_, Mar 16 2023

%e (1+sqrt(10))/3 = 1.38742588672279311066...

%t RealDigits[(1+Sqrt[10])/3,10,120][[1]] (* _Harvey P. Dale_, Jul 07 2011 *)

%t RealDigits[Exp@ ArcSinh[1/3], 10, 111][[1]] (* _Robert G. Wilson v_, Aug 17 2011 *)

%Y Cf. A010467 (decimal expansion of sqrt(10)), A131534 (repeat 1, 2, 1).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 07 2010