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A246711 Decimal expansion of the tenth root of 3. 5

%I #17 Aug 21 2023 11:43:29

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

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

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

%N Decimal expansion of the tenth root of 3.

%C An algebraic integer of degree 10; minimal polynomial x^10 - 3. - _Charles R Greathouse IV_, Apr 20 2016

%H Chai Wah Wu, <a href="/A246711/b246711.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Al#algebraic_10">Index entries for algebraic numbers, degree 10</a>

%e 3^(1/10) = 1.1161231740339...

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

%o (PARI) 3^.1 \\ _Charles R Greathouse IV_, Apr 20 2016

%o (Python)

%o from sympy import integer_nthroot

%o def A246711(n): return integer_nthroot(3*10**(10*(n-1)),10)[0] % 10 # _Chai Wah Wu_, Mar 07 2022

%Y Cf. A011446 (ninth root of 3), A011273 (nineteenth root of 9).

%K nonn,cons

%O 1,4

%A _Alonso del Arte_, Sep 01 2014

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