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A010670 Decimal expansion of cube root of 100. 3
4, 6, 4, 1, 5, 8, 8, 8, 3, 3, 6, 1, 2, 7, 7, 8, 8, 9, 2, 4, 1, 0, 0, 7, 6, 3, 5, 0, 9, 1, 9, 4, 4, 6, 5, 7, 6, 5, 5, 1, 3, 4, 9, 1, 2, 5, 0, 1, 1, 2, 4, 3, 6, 3, 7, 6, 5, 0, 6, 9, 2, 8, 5, 8, 6, 8, 4, 7, 7, 7, 8, 6, 9, 6, 9, 2, 8, 4, 4, 8, 2, 6, 1, 8, 9, 9, 5, 9, 0, 7, 0, 8, 9, 7, 5, 7, 1, 3, 7, 9, 8, 4, 1, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Heron (or Hero) of Alexandria calculated this constant as 4 + 9/14 in the first century AD, see Deslauriers & Dubuc or Metrica book III section 20. [Charles R Greathouse IV, Jan 12 2012]

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000

G. Deslauriers and S. Dubuc, Le calcul de la racine cubique selon Héron, Elem. Math. 51 (1996), pp. 28-34.

FORMULA

a(n) = -10*floor(10^(-4/3 + n)) + floor(10^(-1/3 + n)) for n > 0. - Mariusz Iwaniuk, Apr 26 2017

EXAMPLE

4.6415888336127788924100763509194465765513491250112436376506928586847778...

MATHEMATICA

RealDigits[N[100^(1/3), 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)

PROG

(PARI) { default(realprecision, 20080); x=100^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010670.txt", n, " ", d)); } \\ Harry J. Smith, May 08 2009

CROSSREFS

Cf. A010328 (continued fraction).

Sequence in context: A021687 A063422 A261638 * A240444 A199358 A131890

Adjacent sequences:  A010667 A010668 A010669 * A010671 A010672 A010673

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Final digits of sequence corrected using the b-file by N. J. A. Sloane, Aug 30 2009

STATUS

approved

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Last modified June 18 11:14 EDT 2018. Contains 305554 sequences. (Running on oeis4.)