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A010484 Decimal expansion of square root of 29. 12

%I #24 Nov 21 2023 06:03:25

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

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

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

%N Decimal expansion of square root of 29.

%C Continued fraction expansion is 5 followed by {2, 1, 1, 2, 10} repeated. - _Harry J. Smith_, Jun 04 2009

%C The fundamental algebraic (integer) number in the field Q(sqrt(29)) is (1 + sqrt(29))/2 = A223140. - _Wolfdieter Lang_, Nov 21 2023

%H Harry J. Smith, <a href="/A010484/b010484.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 5.385164807134504031250710491540329556295120161644788837680388670016645....

%t RealDigits[N[Sqrt[29], 200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 22 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(29); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010484.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 04 2009

%Y Cf. A010128 (continued fraction). - _Harry J. Smith_, Jun 04 2009

%Y Cf. A010128.

%K nonn,cons,easy

%O 1,1

%A _N. J. A. Sloane_

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)