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<a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
5.196152422706631880582339024517617100828415761431141884167420938355799... - Harry J. Smith, Jun 04 2009
5.196152422706631880582339024517617100828415761431141884167420938355799....
(PARI) { default(realprecision, 20080); x=sqrt(27); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010482.txt", n, " ", d)); } \\ Harry J. Smith, Jun 04 2009
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The solution of x^sqrt(3)=sqrt(3)^x, see e.g. A360148. - R. J. Mathar, Mar 24 2023
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Continued fraction expansion is 5 followed by {5, 10} repeated (A040021). - Harry J. Smith, Jun 04 2009
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Cf. A104956 (sqrt(27)/2). - Christoph B. Kassir, Oct 02 2022
Equals 2 * A104956. - Christoph B. Kassir, Oct 02 2022
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