A010770 Decimal expansion of 8th root of 2.

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

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^(1/8), 100]][[1]] (* Vincenzo Librandi, Apr 02 2013 *)

PARI

sqrtn(2,8) \\ Charles R Greathouse IV, Apr 15 2014

Formula

Equals Product_{k>=0} (1 + (-1)^k/(8*k + 7)). - Amiram Eldar, Jul 29 2020