A099874 Decimal expansion of a nested radical: CubeRoot(1 + CubeRoot(2 + CubeRoot(3 + CubeRoot(4 + ...

1, 3, 6, 5, 3, 0, 0, 9, 4, 8, 6, 0, 4, 0, 0, 2, 9, 6, 7, 5, 5, 2, 7, 4, 2, 1, 6, 8, 9, 8, 6, 7, 3, 7, 0, 5, 7, 8, 9, 5, 7, 0, 6, 7, 6, 4, 0, 2, 2, 9, 2, 6, 9, 4, 8, 2, 7, 4, 6, 8, 6, 1, 1, 5, 0, 4, 9, 7, 1, 6, 5, 8, 4, 1, 1, 3, 5, 2, 2, 3, 8, 4, 5, 5, 6, 0, 6, 8, 5, 8, 8, 6, 3, 4, 1, 5, 3, 6, 9, 3, 1

Offset

1,2

Links

Kelvin Voskuijl, Table of n, a(n) for n = 1..20000

Example

1.365300948604002967552742168986737...

Mathematica

RealDigits[ Fold[(#1 + #2)^(1/3) &, 0, Reverse[Range[100]]], 10, 111][[1]]

Prog

(PARI) t=0; forstep(n=200, 1, -1, t=(t+n)^(1/3)); t \\ [Gives 349 correct digits. - Jason Yuen, Sep 11 2025]

Crossrefs

Cf. A072449 for version using square root rather than cube root.

Sequence in context: A316169 A346525 A019652 * A011223 A188670 A361985

Adjacent sequences: A099871 A099872 A099873 * A099875 A099876 A099877

Keyword

cons,easy,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004

Status

approved