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Decimal expansion of cube root of 40.
1

%I #22 Nov 19 2022 04:40:35

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

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

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

%N Decimal expansion of cube root of 40.

%C Equals sqrt(2*sqrt(10*sqrt(2*sqrt(10*sqrt(2*sqrt(10)...))))). - _Zak Seidov_, Dec 19 2009

%H Vincenzo Librandi, <a href="/A010611/b010611.txt">Table of n, a(n) for n = 1..5000</a>

%e 3.41995189335339397870621774508772021973611022108610984876572341488859184100...

%t RealDigits[N[40^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 17 2012 *)

%t RealDigits[Surd[40,3],10,120][[1]] (* _Harvey P. Dale_, Jun 18 2021 *)

%o (PARI) sqrtn(40,3) \\ _Charles R Greathouse IV_, Apr 14 2014

%Y Cf. A010269 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_