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%I #8 Sep 08 2022 08:45:44
%S 4,7,9,4,7,8,2,6,7,8,6,7,7,0,4,8,9,2,7,0,1,2,7,7,4,8,6,0,9,9,3,9,2,8,
%T 7,0,7,7,6,4,9,8,7,5,2,2,5,1,5,3,0,3,2,2,4,7,1,2,9,0,1,7,1,2,1,8,8,2,
%U 1,7,3,4,7,6,7,3,7,6,5,0,2,9,1,3,4,5,8,1,6,1,8,9,6,8,9,2,8,0,6,8,2,1,2,2,2
%N Decimal expansion of (1760979+1141390*sqrt(2))/839^2.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130647.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159896.
%H G. C. Greubel, <a href="/A159898/b159898.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals (1570 +727*sqrt(2))/(1570 -727*sqrt(2)).
%F Equals (3 +2*sqrt(2))*(29 -sqrt(2))^2/(29 +sqrt(2))^2.
%e (1760979+1141390*sqrt(2))/839^2 = 4.79478267867704892701...
%t RealDigits[(1760979 +1141390*Sqrt[2])/839^2, 10, 100][[1]] (* _G. C. Greubel_, May 16 2018 *)
%o (PARI) (1760979 +1141390*sqrt(2))/839^2 \\ _G. C. Greubel_, May 16 2018
%o (Magma) (1760979 +1141390*Sqrt(2))/839^2; // _G. C. Greubel_, May 16 2018
%Y Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159897 (decimal expansion of (843+58*sqrt(2))/839).
%K cons,nonn
%O 1,1
%A _Klaus Brockhaus_, Apr 30 2009
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