A010777 Decimal expansion of 15th root of 2.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Links

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

Programs

Mathematica

RealDigits[N[2^(1/15), 100]][[1]] (* Vincenzo Librandi, Apr 02 2013 *)
RealDigits[Surd[2,15],10,120][[1]] (* Harvey P. Dale, Oct 09 2023 *)

PARI

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

Formula

Equals Product_{k>=0} (1 + (-1)^k/(15*k + 14)). - Amiram Eldar, Aug 01 2020