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Decimal expansion of square root of 37.
10

%I #15 Aug 21 2023 11:16:24

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

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

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

%N Decimal expansion of square root of 37.

%C Continued fraction expansion is 6 followed by {12} repeated. - _Harry J. Smith_, Jun 04 2009

%H Harry J. Smith, <a href="/A010491/b010491.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%e 6.082762530298219688999684245202067062084970094786411186419153046486332....

%t RealDigits[N[Sqrt[37],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(37); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010491.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 04 2009

%Y Cf. A040030 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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Last modified September 21 16:02 EDT 2024. Contains 376087 sequences. (Running on oeis4.)