cp's OEIS Frontend

A160575 Decimal expansion of (363+130*sqrt(2))/313.

%I A160575 #8 Sep 08 2022 08:45:45
%S A160575 1,7,4,7,1,1,7,4,5,4,0,2,0,7,7,4,3,0,1,4,1,9,2,3,1,7,3,8,4,8,9,6,5,0,
%T A160575 9,5,9,1,5,0,3,4,2,9,5,1,4,3,4,5,1,5,1,7,4,1,6,2,8,3,8,2,2,9,8,3,6,4,
%U A160575 0,6,4,6,0,7,0,3,1,1,1,5,4,9,6,8,2,2,6,9,5,8,2,9,4,7,5,8,2,7,6,1,8,3,8,8,2
%N A160575 Decimal expansion of (363+130*sqrt(2))/313.
%C A160575 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129640.
%C A160575 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160574.
%H A160575 G. C. Greubel, <a href="/A160575/b160575.txt">Table of n, a(n) for n = 1..10000</a>
%F A160575 Equals (26+5*sqrt(2))/(26-5*sqrt(2)).
%e A160575 (363+130*sqrt(2))/313 = 1.74711745402077430141...
%t A160575 RealDigits[(363 +130*Sqrt[2])/313, 10, 100][[1]] (* _G. C. Greubel_, Apr 08 2018 *)
%o A160575 (PARI) (363 +130*sqrt(2))/313 \\ _G. C. Greubel_, Apr 08 2018
%o A160575 (Magma) (363 +130*Sqrt(2))/313; // _G. C. Greubel_, Apr 08 2018
%Y A160575 Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160576 (decimal expansion of (119187+47998*sqrt(2))/313^2).
%K A160575 cons,nonn
%O A160575 1,2
%A A160575 _Klaus Brockhaus_, Jun 08 2009