login
Decimal expansion of the 11th root of 3.
6

%I #10 Mar 07 2022 22:09:41

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

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

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

%N Decimal expansion of the 11th root of 3.

%F Equals 3^(1/11).

%e 1.1050315033964...

%p Digits:=100: evalf(3^(1/11));

%t RealDigits[3^(1/11), 10, 108][[1]]

%o (PARI) sqrtn(3, 11)

%o (Python)

%o from sympy import integer_nthroot

%o def A351208(n): return integer_nthroot(3*10**(11*(n-1)),11)[0] % 10 # _Chai Wah Wu_, Mar 07 2022

%Y Cf. A246710 (8th root), A011446 (9th root), A246711 (10th root).

%K cons,nonn

%O 1,4

%A _Mark Andreas_, Feb 04 2022