A010768 Decimal expansion of 6th root of 2.

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

Offset

1,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Index entries for algebraic numbers, degree 6.

Formula

Equals Product_{k>=0} (1 + (-1)^k/(6*k + 5)). - Amiram Eldar, Jul 25 2020

Equals sqrt(A002580). - R. J. Mathar, Jan 15 2021

Example

1.12246204...

Mathematica

RealDigits[N[2^(1/6), 100]][[1]] (* Vincenzo Librandi, Mar 31 2013 *)
RealDigits[Surd[2, 6], 10, 120][[1]] (* Harvey P. Dale, Mar 29 2026 *)

Prog

(PARI) sqrtn(2, 6) \\ Charles R Greathouse IV, Apr 15 2014

Crossrefs

Sequence in context: A357886 A019964 A087377 * A373208 A143267 A113463

Adjacent sequences: A010765 A010766 A010767 * A010769 A010770 A010771

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved