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A005532 Decimal expansion of fifth root of 3.

%I A005532 M0953 #36 Jul 02 2025 16:01:54
%S A005532 1,2,4,5,7,3,0,9,3,9,6,1,5,5,1,7,3,2,5,9,6,6,6,8,0,3,3,6,6,4,0,3,0,5,
%T A005532 0,8,0,9,3,9,3,0,9,9,9,3,0,6,8,7,7,9,8,1,1,0,4,6,1,7,3,0,1,4,3,6,0,7,
%U A005532 4,6,6,5,3,7,7,5,4,9,3,5,6,6,6,0,5,8,9,5,1,4,4,5,8,8,1,2,3,4,2,5,6,5,9,0,2
%N A005532 Decimal expansion of fifth root of 3.
%D A005532 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005532 Harry J. Smith, <a href="/A005532/b005532.txt">Table of n, a(n) for n = 1..20000</a>
%H A005532 <a href="/index/Al#algebraic_05">Index entries for algebraic numbers, degree 5</a>.
%e A005532 1.245730939615517325966680336640305080939309993068779811046173... - _Harry J. Smith_, May 12 2009
%p A005532 Digits := 200: it := evalf(3^(1/5)/10, 200)-floor(evalf(3^(1/5)/10, 200)): for i from 1 to 150 do printf(`%d,`,floor(10*it)): it := 10*it-floor(10*it): od:
%t A005532 RealDigits[N[3^(1/5),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 22 2012 *)
%t A005532 RealDigits[Surd[3,5],10,120][[1]] (* _Harvey P. Dale_, Dec 10 2024 *)
%o A005532 (PARI) { default(realprecision, 20080); x=3^(1/5); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b005532.txt", n, " ", d)); } \\ _Harry J. Smith_, May 12 2009
%Y A005532 Cf. A003117 (continued fraction). - _Harry J. Smith_, May 12 2009
%Y A005532 Cf. A246708.
%K A005532 cons,nonn
%O A005532 1,2
%A A005532 _N. J. A. Sloane_
%E A005532 More terms from _James Sellers_, Feb 19 2001