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Decimal expansion of the 13th root of 3.
5

%I #10 Mar 07 2022 21:47:24

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

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

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

%N Decimal expansion of the 13th root of 3.

%F Equals 3^(1/13).

%e 1.0881822434633167374809461526062579626660268...

%p Digits:=100: evalf(3^(1/13));

%t RealDigits[3^(1/13), 10, 108][[1]]

%o (PARI) sqrtn(3,13)

%o (Python)

%o from sympy import integer_nthroot

%o def A351210(n): return integer_nthroot(3*10**(13*(n-1)),13)[0] % 10 # _Chai Wah Wu_, Mar 07 2022

%Y Cf. A011446 (9th root), A246711 (10th root), A351208 (11th root), A351209 (12th root).

%K cons,nonn

%O 1,3

%A _Mark Andreas_, Feb 07 2022