A010670 Decimal expansion of cube root of 100.

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

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

One "hectoliter" is a non-SI metric unit of volume equal to 100 liters, which is the volume of a cube with an edge of 10*100^(1/3) cm (46.4158883... cm). - Jean-François Alcover, Dec 14 2024

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

Equals A010582^2. - Hugo Pfoertner, Dec 14 2024

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), A010582.

Sequence in context: A021687 A063422 A261638 * A240444 A199358 A131890

Adjacent sequences: A010667 A010668 A010669 * A010671 A010672 A010673

Keyword

nonn,cons,changed

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