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A160208 Decimal expansion of (1208787 +678878*sqrt(2))/857^2.

%I A160208 #13 Sep 08 2022 08:45:44
%S A160208 2,9,5,3,0,5,1,1,6,4,6,1,0,0,9,8,2,1,0,4,1,4,0,5,5,7,5,8,4,1,7,5,7,7,
%T A160208 5,4,7,4,9,9,1,7,5,1,6,8,6,1,2,3,2,2,6,4,4,6,2,4,7,9,7,6,1,9,9,4,0,4,
%U A160208 8,9,3,7,8,4,5,0,2,3,7,2,5,5,8,4,8,4,9,7,8,3,7,8,7,4,7,6,1,4,2,7,4,3,0,9,0
%N A160208 Decimal expansion of (1208787 +678878*sqrt(2))/857^2.
%C A160208 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129857.
%C A160208 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160206.
%H A160208 G. C. Greubel, <a href="/A160208/b160208.txt">Table of n, a(n) for n = 1..10000</a>
%F A160208 Equals (1394 +487*sqrt(2))/(1394 -487*sqrt(2));
%F A160208 Equals (3+2*sqrt(2))*(42-5*sqrt(2))^2/(42+5*sqrt(2))^2.
%e A160208 (1208787 +678878*sqrt(2))/857^2 = 2.95305116461009821041...
%t A160208 RealDigits[(1208787+678878Sqrt[2])/857^2,10,120][[1]] (* _Harvey P. Dale_, Nov 09 2012 *)
%o A160208 (PARI) (1208787 +678878*sqrt(2))/857^2 \\ _G. C. Greubel_, Apr 08 2018
%o A160208 (Magma) (1208787 +678878*Sqrt(2))/857^2; // _G. C. Greubel_, Apr 08 2018
%Y A160208 Cf. A129857, A160206, A002193 (decimal expansion of sqrt(2)), A160207 (decimal expansion of (907+210*sqrt(2))/857).
%K A160208 cons,nonn
%O A160208 1,1
%A A160208 _Klaus Brockhaus_, May 18 2009