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

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Examples

			1.12246204...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• Index entries for algebraic numbers, degree 6.

Programs

Mathematica

RealDigits[N[2^(1/6), 100]][[1]] (* Vincenzo Librandi, Mar 31 2013 *)

PARI

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

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