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A177346
Decimal expansion of (1+sqrt(10))/3.
1
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
1,2
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
FORMULA
Equals exp(arcsinh(1/3)). - Gary W. Adamson, Mar 16 2023
EXAMPLE
(1+sqrt(10))/3 = 1.38742588672279311066...
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 *)
CROSSREFS
Cf. A010467 (decimal expansion of sqrt(10)), A131534 (repeat 1, 2, 1).
Sequence in context: A195435 A134903 A371527 * A357319 A257822 A201293
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, May 07 2010
STATUS
approved