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Decimal expansion of 1 + 2*sqrt(2).
21

%I #30 Aug 21 2023 10:10:58

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

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

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

%N Decimal expansion of 1 + 2*sqrt(2).

%C Onset of 3-cycle in the logistic equation.

%H J. Bechhoefer, <a href="http://www.jstor.org/stable/2690665">The Birth of Period 3, Revisited</a>, Mathematics Magazine pp. 115-8 Vol. 69 No. Apr 02 1996

%H W. B. Gordon, <a href="http://www.jstor.org/stable/2690666">Period Three Trajectories of the Logistic Map</a>, Mathematics Magazine pp. 118-120 Vol. 69 No. Apr 02 1996

%H J. Meiss, <a href="https://web.archive.org/web/20060921153247/http://amath.colorado.edu/courses/3010/2002fall/examples/period3.pdf">Period three saddle-node bifurcation for the Logistic Map</a>

%H P. Saha & S. H. Strogatz, <a href="https://www.maa.org/sites/default/files/269137619927.pdf">The Birth of period 3</a>, Mathematics Magazine pp. 42-7 Vol. 68, No. 1, 1995.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LogisticMap.html">Logistic Map</a>

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

%F Equals A010466 plus 1. - _R. J. Mathar_, Sep 12 2008

%e 3.8284...

%t RealDigits[1+2Sqrt[2],10,120][[1]] (* _Harvey P. Dale_, Jun 13 2013 *)

%o (PARI) 1+2*sqrt(2) \\ _Felix Fröhlich_, Sep 26 2017

%Y Cf. A086179.

%K nonn,cons,easy

%O 1,1

%A _Eric W. Weisstein_, Jul 11 2003