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%I #11 Sep 08 2022 08:45:44
%S 2,3,8,6,2,5,8,3,5,1,2,0,1,2,5,4,1,2,7,1,1,9,9,7,6,5,1,7,0,0,4,4,1,5,
%T 6,3,5,3,4,4,6,3,0,3,5,5,9,1,9,4,0,8,1,4,4,0,7,2,9,6,5,2,7,5,3,4,1,3,
%U 0,8,1,1,3,1,4,0,0,3,4,5,1,2,8,7,7,6,4,0,5,8,1,2,7,9,4,5,7,8,6,5,8,9,5,5,6
%N Decimal expansion of (843 + 418*sqrt(2))/601.
%C Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A111258.
%C Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160098.
%H G. C. Greubel, <a href="/A160099/b160099.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals (38 + 11*sqrt(2))/(38 - 11*sqrt(2)).
%e (843 + 418*sqrt(2))/601 = 2.38625835120125412711...
%t RealDigits[(843 +418*Sqrt[2])/601, 10, 100][[1]] (* _G. C. Greubel_, Apr 21 2018 *)
%o (PARI) (843+418*sqrt(2))/601 \\ _G. C. Greubel_, Apr 21 2018
%o (Magma) (843+418*Sqrt(2))/601; // _G. C. Greubel_, Apr 21 2018
%Y Cf. A111258, A160098, A002193 (decimal expansion of sqrt(2)), A160100 (decimal expansion of (361299+5950*sqrt(2))/601^2).
%K cons,nonn
%O 1,1
%A _Klaus Brockhaus_, May 18 2009
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