cp's OEIS Frontend

A160578 Decimal expansion of (473+168*sqrt(2))/409.

%I A160578 #13 Sep 08 2022 08:45:45
%S A160578 1,7,3,7,3,7,8,6,7,5,9,8,6,9,9,2,5,8,7,2,8,2,8,4,5,2,4,6,1,3,0,1,4,4,
%T A160578 9,3,2,0,2,8,6,1,8,2,7,6,4,3,8,4,5,2,9,9,8,2,7,3,0,6,1,6,0,3,8,6,9,0,
%U A160578 5,3,9,2,7,5,8,3,4,5,7,1,6,9,9,9,2,3,3,5,2,2,1,9,2,4,3,1,2,4,3,0,8,5,4,4,8
%N A160578 Decimal expansion of (473+168*sqrt(2))/409.
%C A160578 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129641.
%C A160578 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160577.
%H A160578 G. C. Greubel, <a href="/A160578/b160578.txt">Table of n, a(n) for n = 1..10000</a>
%F A160578 Equals (42+8*sqrt(2))/(42-8*sqrt(2)).
%e A160578 (473+168*sqrt(2))/409 = 1.73737867598699258728...
%t A160578 RealDigits[(473+168Sqrt[2])/409,10,120][[1]] (* _Harvey P. Dale_, Mar 05 2015 *)
%o A160578 (PARI) (473 +168*sqrt(2))/409 \\ _G. C. Greubel_, Apr 08 2018
%o A160578 (Magma) (473 +168*Sqrt(2))/409; // _G. C. Greubel_, Apr 08 2018
%Y A160578 Cf. A129641, A160577, A002193 (decimal expansion of sqrt(2)), A160579 (decimal expansion of (204819+83570*sqrt(2))/409^2).
%K A160578 cons,nonn
%O A160578 1,2
%A A160578 _Klaus Brockhaus_, Jun 08 2009