A010768 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

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

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

EXAMPLE

1.12246204...

MATHEMATICA

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