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 A005486 Decimal expansion of cube root of 6. (Formerly M4466) 9
 1, 8, 1, 7, 1, 2, 0, 5, 9, 2, 8, 3, 2, 1, 3, 9, 6, 5, 8, 8, 9, 1, 2, 1, 1, 7, 5, 6, 3, 2, 7, 2, 6, 0, 5, 0, 2, 4, 2, 8, 2, 1, 0, 4, 6, 3, 1, 4, 1, 2, 1, 9, 6, 7, 1, 4, 8, 1, 3, 3, 4, 2, 9, 7, 9, 3, 1, 3, 0, 9, 7, 3, 9, 4, 5, 9, 3, 0, 1, 8, 6, 5, 6, 4, 7, 1, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Diameter of a sphere with volume Pi. - Omar E. Pol, Aug 09 2012 Also the height h that minimizes the total surface area (including the base) of a square pyramid of unit volume: at h = 6^(1/3), the surface area reaches its minimum value, 12*6^(-1/3) = 12/h. The ratio of its height to the length of one of its sides is h/sqrt(3/h) = sqrt(2), and the slope of its four triangular faces is arctan(sqrt(8)) = 70.528779... degrees (cf. A137914). (For the height that minimizes the total surface area of just the four triangular faces of a square pyramid of unit volume -- i.e., excluding the base -- see A319034.) - Jon E. Schoenfield, Nov 10 2018 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Harry J. Smith, Table of n, a(n) for n = 1..20000 EXAMPLE 1.81712059283213965889121175632726050242821... - Harry J. Smith, May 07 2009 MATHEMATICA RealDigits[N[6^(1/3), 200]] (* Vladimir Joseph Stephan Orlovsky, May 27 2010 *) PROG (PARI) { default(realprecision, 20080); x=6^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b005486.txt", n, " ", d)); } \\ Harry J. Smith, May 07 2009 (MAGMA) SetDefaultRealField(RealField(100)); 6^(1/3); // G. C. Greubel, Nov 12 2018 CROSSREFS Cf. A002949 = Continued fraction. - Harry J. Smith, May 07 2009 Cf. A137914, A319034. Sequence in context: A240982 A258146 A182551 * A010157 A244089 A195489 Adjacent sequences:  A005483 A005484 A005485 * A005487 A005488 A005489 KEYWORD nonn,cons AUTHOR EXTENSIONS More terms from Jon E. Schoenfield, Mar 11 2018 STATUS approved

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Last modified October 21 14:20 EDT 2019. Contains 328301 sequences. (Running on oeis4.)