A383759 Decimal expansion of infinite nested radical sqrt(8-sqrt(8-sqrt(8+sqrt(8-...)))).
2, 4, 1, 1, 4, 7, 4, 1, 2, 7, 8, 0, 9, 7, 7, 2, 8, 3, 8, 5, 1, 3, 0, 0, 3, 8, 5, 5, 7, 6, 0, 2, 9, 6, 2, 8, 7, 7, 4, 4, 0, 8, 1, 1, 8, 2, 6, 8, 9, 7, 1, 9, 7, 5, 7, 8, 8, 8, 6, 6, 3, 8, 9, 4, 8, 3, 2, 7, 5, 3, 1, 9, 9, 7, 0, 5, 5, 2, 8, 3, 6, 4, 9, 5, 5, 9, 5, 0, 3, 3, 3, 0, 3, 6, 9, 9, 3, 1, 2, 1, 8, 2, 3, 7, 6
Offset: 1
Examples
2.41147412780977283851...
References
- Bruce C. Berndt, Ramanujan's Notebooks Part IV, Springer-Verlag, 1994, Chapter 22, p. 19, eq. (5.11).
Crossrefs
Cf. A019889.
Programs
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Mathematica
RealDigits[Root[-17 - 6 x + 3 x^2 + x^3, 3], 10, 105][[1]]
Formula
Equals 2*sqrt(3)*cos(Pi/18) - 1.
Equals real root of cubic polynomial x^3 + 3*x^2 - 6*x - 17.
Comments