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A160210 Decimal expansion of (1179+506*sqrt(2))/937.

%I A160210 #19 Sep 08 2022 08:45:44
%S A160210 2,0,2,1,9,7,6,5,8,7,5,7,8,2,1,3,5,4,8,2,3,2,2,8,8,6,8,1,3,7,6,8,4,8,
%T A160210 6,9,5,5,7,7,6,4,5,6,4,4,5,4,7,2,0,9,9,5,2,0,0,3,6,2,8,5,4,5,8,0,9,2,
%U A160210 9,6,3,0,1,0,6,9,1,8,4,8,0,4,3,3,1,1,5,9,1,1,6,7,2,3,3,5,8,2,0,2,5,6,5,5,4
%N A160210 Decimal expansion of (1179+506*sqrt(2))/937.
%C A160210 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129974.
%C A160210 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160209.
%H A160210 G. C. Greubel, <a href="/A160210/b160210.txt">Table of n, a(n) for n = 1..10000</a>
%F A160210 Equals (46 + 11*sqrt(2))/(46 - 11*sqrt(2)).
%e A160210 (1179+506*sqrt(2))/937 = 2.02197658757821354823...
%t A160210 RealDigits[(1179+506Sqrt[2])/937,10,120][[1]] (* _Harvey P. Dale_, Feb 25 2017 *)
%o A160210 (PARI) (1179+506*sqrt(2))/937 \\ _G. C. Greubel_, Apr 08 2018
%o A160210 (Magma) (1179+506*Sqrt(2))/937; // _G. C. Greubel_, Apr 08 2018
%Y A160210 Cf. A129974, A160209, A002193 (decimal expansion of sqrt(2)), A160211 (decimal expansion of (933747+224782*sqrt(2))/937^2).
%K A160210 cons,nonn
%O A160210 1,1
%A A160210 _Klaus Brockhaus_, May 18 2009