A010775 Decimal expansion of 13th root of 2.

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

Offset

1,3

Links

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

Index entries for algebraic numbers, degree 13.

Formula

Equals Product_{k>=0} (1 + (-1)^k/(13*k + 12)). - Amiram Eldar, Aug 01 2020

Mathematica

RealDigits[N[2^(1/13), 100]][[1]] (* Vincenzo Librandi, Apr 02 2013 *)

Prog

(PARI) sqrtn(2, 13) \\ Charles R Greathouse IV, Apr 15 2014

Crossrefs

Cf. k-th root of 2: A002193 (k=2), A002580 (k=3), A010767 (k=4), A005531 (k=5), A010768-A010782 (k=6-20).

Sequence in context: A343564 A004446 A115409 * A010485 A194362 A103549

Adjacent sequences: A010772 A010773 A010774 * A010776 A010777 A010778

Keyword

nonn,cons,changed

Author

N. J. A. Sloane

Status

approved