A246709 - OEIS

%I #14 Feb 23 2017 23:25:02

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

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

%U 3,3,9,3,6,2,7,4,0,0,3,6,7,0,1,5,1,1,4,3,0,1,9,6,9,3,9,3,5

%N Decimal expansion of the seventh root of 3.

%H Chai Wah Wu, <a href="/A246709/b246709.txt">Table of n, a(n) for n = 1..10000</a>

%H Szabolcs Tengely, Maciej Ulas, <a href="https://arxiv.org/abs/1702.06068">On a problem of Petho</a>, arXiv:1702.06068 [math.NT], 2017.

%e 3^(1/7) = 1.1699308127586868864629757255137346676994...

%t RealDigits[3^(1/7), 10, 108][[1]]

%Y Cf. A246708 (sixth root of 3), A011267 (13th root of 9).

%K cons,nonn

%O 1,3

%A _Alonso del Arte_, Sep 01 2014