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Decimal expansion of square root of 23.
11

%I #22 Aug 21 2023 10:33:56

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

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

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

%N Decimal expansion of square root of 23.

%C Continued fraction expansion is 4 followed by {1, 3, 1, 8} repeated. - _Harry J. Smith_, Jun 03 2009

%H Harry J. Smith, <a href="/A010479/b010479.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 4.7958315233127195415974380641626939199967070419041293464853...

%t RealDigits[N[Sqrt[23], 200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 22 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(23); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010479.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 03 2009

%Y Cf. A010127 (continued fraction).

%K nonn,cons,easy

%O 1,1

%A _N. J. A. Sloane_