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%I #15 Nov 15 2023 17:44:29
%S 9,1,0,9,7,7,2,2,2,8,6,4,6,4,4,3,6,5,5,0,0,1,1,3,7,1,4,0,8,8,1,3,9,6,
%T 5,7,8,6,2,3,4,0,2,5,2,4,3,6,1,2,3,2,0,0,4,0,0,3,8,7,6,1,0,2,7,2,1,3,
%U 3,5,5,1,3,4,0,0,9,3,7,7,3,0,3,8,3,9,4,7,0,4,5,3,9,6,6,4,0,2,8,2,4,7,0,1,6
%N Decimal expansion of (9+sqrt(85))/2.
%C Continued fraction expansion of (9+sqrt(85))/2 is A010734.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Metallic_mean">Metallic mean</a>
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%F Equals lim_{n->infinity} S(n, sqrt(5*17))/S(n-1, sqrt(5*17)), with the S-Chebyshev polynomials (see A049310). - _Wolfdieter Lang_, Nov 15 2023
%e (9+sqrt(85))/2 = 9.10977222864644365500...
%o (PARI) (9+sqrt(85))/2 \\ _Charles R Greathouse IV_, Jul 24 2013
%Y Cf. A010536 (decimal expansion of sqrt(85)), A010734 (all 9's sequence), A333345, A049310.
%K nonn,cons,easy
%O 1,1
%A _Klaus Brockhaus_, Apr 23 2010
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