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A160207 Decimal expansion of (907+210*sqrt(2))/857.

%I A160207 #11 Sep 08 2022 08:45:44
%S A160207 1,4,0,4,8,8,3,1,3,6,6,3,7,5,1,4,5,3,9,3,7,9,6,4,3,6,7,8,0,4,4,3,8,3,
%T A160207 4,2,6,4,8,7,3,1,7,4,9,5,7,1,6,6,3,8,3,8,4,3,2,5,6,7,4,1,4,8,1,6,5,7,
%U A160207 5,7,0,8,3,4,0,3,7,8,3,5,2,1,7,7,1,9,7,3,6,0,8,1,7,8,3,0,1,9,0,2,3,0,3,7,9
%N A160207 Decimal expansion of (907+210*sqrt(2))/857.
%C A160207 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129857.
%C A160207 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160206.
%H A160207 G. C. Greubel, <a href="/A160207/b160207.txt">Table of n, a(n) for n = 1..10000</a>
%F A160207 Equals (42+5*sqrt(2))/(42-5*sqrt(2)).
%e A160207 (907+210*sqrt(2))/857 = 1.40488313663751453937...
%t A160207 RealDigits[(907+210Sqrt[2])/857,10,150][[1]]  (* _Harvey P. Dale_, Mar 20 2011 *)
%o A160207 (PARI) (907+210*sqrt(2))/857 \\ _G. C. Greubel_, Apr 25 2018
%o A160207 (Magma) (907+210*Sqrt(2))/857; // _G. C. Greubel_, Apr 25 2018
%Y A160207 Cf. A129857, A160206, A002193 (decimal expansion of sqrt(2)), A160208 (decimal expansion of (1208787+678878*sqrt(2))/857^2).
%K A160207 cons,nonn
%O A160207 1,2
%A A160207 _Klaus Brockhaus_, May 18 2009