A159897 - OEIS

%I #6 Sep 08 2022 08:45:44

%S 1,1,0,2,5,3,2,0,4,6,0,2,8,1,7,5,8,1,9,8,2,1,8,0,9,2,3,2,4,2,4,5,0,8,

%T 3,2,9,6,2,6,9,8,5,6,6,0,0,3,7,9,7,7,3,3,9,9,8,1,2,2,4,5,8,2,6,0,2,4,

%U 5,8,2,6,4,3,0,3,6,9,7,5,0,6,8,5,7,3,5,6,9,4,5,1,6,2,1,0,1,5,6,2,8,3,5,0,7

%N Decimal expansion of (843+58*sqrt(2))/839.

%C lim_{n -> infinity} b(n)/b(n-1) = (843+58*sqrt(2))/839 for n mod 3 = {1, 2}, b = A130647.

%C lim_{n -> infinity} b(n)/b(n-1) = (843+58*sqrt(2))/839 for n mod 3 = {0, 2}, b = A159896.

%H G. C. Greubel, <a href="/A159897/b159897.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (29 +sqrt(2))/(29 -sqrt(2)).

%e (843+58*sqrt(2))/839 = 1.10253204602817581982...

%t RealDigits[(843+58*Sqrt[2])/839, 10, 100][[1]] (* _G. C. Greubel_, May 17 2018 *)

%o (PARI) (843 +58*sqrt(2))/839 \\ _G. C. Greubel_, May 17 2018

%o (Magma) (843 +58*Sqrt(2))/839; // _G. C. Greubel_, May 17 2018

%Y Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159898 (decimal expansion of (1760979+1141390*sqrt(2))/839^2).

%K cons,nonn

%O 1,4

%A _Klaus Brockhaus_, Apr 30 2009