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Decimal expansion of x-coordinate of fixed point of Hénon map for a=7/5 and b=3/10 where x is positive.
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%I #27 Apr 29 2023 07:00:19

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

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

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

%N Decimal expansion of x-coordinate of fixed point of Hénon map for a=7/5 and b=3/10 where x is positive.

%C Henon attractor equation: (x=y+1-a*x^2, y=b*x, a=7/5, b=3/10), with solution (x=(sqrt(609)-7)/28, y=3*x/10).

%C There are two different fixed points of the Hénon map for a=7/5 and b=3/10. Sequence focuses on the decimal expansion of the x-coordinate of one of them. - _Altug Alkan_, Nov 19 2015

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Hénon_map">Hénon map</a>.

%F x = (sqrt(609) - 7)/28.

%e x = 0.63135447708950471168156023383569597544158647441012608539257671385...

%t RealDigits[(Sqrt[609] - 7)/28, 10, 105][[1]] (* _Amiram Eldar_, Apr 29 2023 *)

%o (PARI) (sqrt(609)-7)/28 \\ _Altug Alkan_, Nov 19 2015

%K cons,nonn

%O 0,1

%A _Zak Seidov_, May 26 2008

%E Offset corrected _R. J. Mathar_, Jan 26 2009

%E Better definition from _Altug Alkan_, Nov 19 2015