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Decimal expansion of the 12th root of 3.
6

%I #15 Feb 11 2025 14:28:55

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

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

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

%N Decimal expansion of the 12th root of 3.

%H <a href="/index/Al#algebraic_12">Index entries for algebraic numbers, degree 12</a>.

%F Equals 3^(1/12).

%e 1.0958726911352443801600191280725486527997513...

%p Digits:=100: evalf(3^(1/12));

%t RealDigits[3^(1/12), 10, 108][[1]]

%o (PARI) sqrtn(3,12)

%o (Python)

%o from sympy import integer_nthroot

%o def A351209(n): return integer_nthroot(3*10**(12*(n-1)),12)[0] % 10 # _Chai Wah Wu_, Mar 07 2022

%Y Cf. A246710 (8th root), A011446 (9th root), A246711, (10th root), A351208 (11th root).

%K cons,nonn

%O 1,3

%A _Mark Andreas_, Feb 07 2022