A010781 Decimal expansion of 19th root of 2.

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

Offset

1,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000 (a(5000) corrected by Sean A. Irvine)

Index entries for algebraic numbers, degree 19.

Formula

Equals Product_{k>=0} (1 + (-1)^k/(19*k + 18)). - Amiram Eldar, Aug 01 2020

Mathematica

RealDigits[N[2^(1/19), 100]][[1]] (* Vincenzo Librandi, Apr 03 2013 *)

Prog

(PARI) sqrtn(2, 19) \\ 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: A016664 A197758 A071792 * A019806 A199589 A383432

Adjacent sequences: A010778 A010779 A010780 * A010782 A010783 A010784

Keyword

nonn,cons,changed

Author

N. J. A. Sloane

Status

approved