A177346 Decimal expansion of (1+sqrt(10))/3.

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, 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, 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

Offset: 1

Author

Klaus Brockhaus, May 07 2010

Keywords

• cons
• nonn

Comments

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

A root of x - 1/x = 2/3. - Gary W. Adamson, May 18 2023

Examples

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

Crossrefs

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

Programs

Mathematica

RealDigits[(1+Sqrt[10])/3,10,120][[1]] (* Harvey P. Dale, Jul 07 2011 *)
RealDigits[Exp@ ArcSinh[1/3], 10, 111][[1]] (* Robert G. Wilson v, Aug 17 2011 *)

Formula

Equals exp(arcsinh(1/3)). - Gary W. Adamson, Mar 16 2023