cp's OEIS Frontend

A160042 Decimal expansion of (89+36*sqrt(2))/73.

%I A160042 #14 Sep 08 2022 08:45:44
%S A160042 1,9,1,6,5,9,8,4,6,9,1,1,5,4,9,8,9,2,8,1,7,6,1,7,5,2,6,1,2,5,4,0,9,7,
%T A160042 6,8,2,5,8,2,3,0,3,9,3,8,5,4,2,0,5,6,5,8,4,0,3,2,3,3,5,2,1,3,2,5,5,7,
%U A160042 0,3,6,8,8,0,0,8,7,1,0,3,2,0,5,2,8,9,5,8,2,3,6,1,0,6,7,8,2,1,4,5,4,5,8,3,6
%N A160042 Decimal expansion of (89+36*sqrt(2))/73.
%C A160042 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129289.
%C A160042 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160041.
%H A160042 G. C. Greubel, <a href="/A160042/b160042.txt">Table of n, a(n) for n = 1..10000</a>
%F A160042 Equals (9+2*sqrt(2))/(9-2*sqrt(2)).
%e A160042 (89+36*sqrt(2))/73 = 1.91659846911549892817...
%t A160042 RealDigits[(89+36Sqrt[2])/73,10,120][[1]] (* _Harvey P. Dale_, Jun 19 2011 *)
%o A160042 (PARI) (89+36*sqrt(2))/73 \\ _G. C. Greubel_, Apr 15 2018
%o A160042 (Magma) (89+36*Sqrt(2))/73; // _G. C. Greubel_, Apr 15 2018
%Y A160042 Cf. A129289, A160041, A002193 (decimal expansion of sqrt(2)), A160043 (decimal expansion of (5907+1802*sqrt(2))/73^2).
%K A160042 cons,nonn
%O A160042 1,2
%A A160042 _Klaus Brockhaus_, May 04 2009