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 A139340 Decimal expansion of the cube root of the golden ratio. That is, the decimal expansion of ((1+sqrt(5))/2)^(1/3). 14
 1, 1, 7, 3, 9, 8, 4, 9, 9, 6, 7, 0, 5, 3, 2, 8, 5, 0, 9, 9, 6, 6, 6, 8, 3, 9, 7, 1, 8, 8, 6, 2, 6, 6, 7, 4, 1, 9, 5, 5, 7, 9, 9, 0, 6, 9, 0, 9, 0, 8, 1, 1, 2, 0, 6, 7, 7, 6, 0, 5, 0, 0, 3, 3, 0, 6, 8, 2, 7, 9, 9, 0, 3, 1, 0, 4, 8, 2, 0, 2, 7, 7, 8, 1, 8, 4, 0, 6, 5, 7, 4, 7, 5, 8, 1, 1, 4, 3, 9, 9, 9, 2, 7, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Larger of the real roots of x^6 - x^3 - 1. - Charles R Greathouse IV, Apr 14 2014 REFERENCES Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176.  Solution published in Vol. 12, No. 1, Winter 2000, pp. 61-62. LINKS Chai Wah Wu, Table of n, a(n) for n = 1..10000 EXAMPLE 1.1739849967053285... MAPLE phi := (sqrt(5)+1)/2 ; evalf(root[3](phi)) ; # R. J. Mathar, Oct 16 2015 MATHEMATICA RealDigits[N[GoldenRatio^(1/3), 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 06 2012 *) PROG (PARI) polrootsreal(x^6-x^3-1)[2] \\ Charles R Greathouse IV, Apr 14 2014 CROSSREFS Cf. A001622, A094214, A104457, A098317, A002390, A139339. Sequence in context: A021579 A139788 A093525 * A195725 A105168 A134883 Adjacent sequences:  A139337 A139338 A139339 * A139341 A139342 A139343 KEYWORD nonn,cons AUTHOR Mohammad K. Azarian, Apr 14 2008 STATUS approved

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Last modified August 16 00:25 EDT 2018. Contains 313782 sequences. (Running on oeis4.)