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A161488 Decimal expansion of (209+60*sqrt(2))/191.

%I A161488 #8 Sep 08 2022 08:45:45
%S A161488 1,5,3,8,4,9,6,4,0,7,0,2,8,1,9,7,3,9,7,5,2,9,3,2,6,3,0,0,7,9,8,8,5,8,
%T A161488 0,3,5,1,5,2,7,7,6,5,0,5,3,5,4,0,1,5,1,0,1,5,2,1,4,7,0,0,7,4,7,6,1,4,
%U A161488 8,6,6,4,2,4,4,8,8,2,9,4,3,6,2,8,8,0,7,9,8,5,3,7,1,5,4,8,9,4,9,9,2,8,8,4,8
%N A161488 Decimal expansion of (209+60*sqrt(2))/191.
%C A161488 lim_{n -> infinity} b(n)/b(n-1) = (209+60*sqrt(2))/191 for n mod 3 = {1, 2}, b = A161486.
%C A161488 lim_{n -> infinity} b(n)/b(n-1) = (209+60*sqrt(2))/191 for n mod 3 = {0, 2}, b = A161487.
%H A161488 G. C. Greubel, <a href="/A161488/b161488.txt">Table of n, a(n) for n = 1..10000</a>
%F A161488 Equals (20+3*sqrt(2))/(20-3*sqrt(2)).
%e A161488 (209+60*sqrt(2))/191 = 1.53849640702819739752...
%t A161488 RealDigits[(209+60*Sqrt[2])/191, 10, 100][[1]] (* _G. C. Greubel_, Apr 06 2018 *)
%o A161488 (PARI) (209+60*sqrt(2))/191 \\ _G. C. Greubel_, Apr 06 2018
%o A161488 (Magma)  (209 + 60*Sqrt(2))/191; // _G. C. Greubel_, Apr 06 2018
%Y A161488 Cf. A161486, A161487, A002193 (decimal expansion of sqrt(2)), A161489 (decimal expansion of (52323+26522*sqrt(2))/191^2).
%K A161488 cons,nonn
%O A161488 1,2
%A A161488 _Klaus Brockhaus_, Jun 13 2009