cp's OEIS Frontend

A160211 Decimal expansion of (933747 +224782*sqrt(2))/937^2.

%I A160211 #12 Sep 08 2022 08:45:44
%S A160211 1,4,2,5,6,0,4,7,2,2,9,1,9,9,9,9,5,1,1,6,6,8,1,1,2,6,4,9,5,4,1,5,0,3,
%T A160211 5,7,6,4,3,2,7,0,7,7,4,1,9,4,8,7,2,6,1,4,1,5,6,6,2,7,4,4,6,3,9,7,8,8,
%U A160211 3,3,9,0,8,6,8,4,3,2,6,3,7,6,4,5,1,6,3,7,5,9,8,5,2,7,0,9,5,9,7,7,1,9,5,6,8
%N A160211 Decimal expansion of (933747 +224782*sqrt(2))/937^2.
%C A160211 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129974.
%C A160211 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160209.
%H A160211 G. C. Greubel, <a href="/A160211/b160211.txt">Table of n, a(n) for n = 1..10000</a>
%F A160211 Equals (1346 +167*sqrt(2))/(1346 -167*sqrt(2));
%F A160211 Equals (3+2*sqrt(2))*(46-11*sqrt(2))^2/(46+11*sqrt(2))^2.
%e A160211 (933747+224782*sqrt(2))/937^2 = 1.42560472291999951166...
%t A160211 RealDigits[(933747+224782*Sqrt[2])/937^2, 10, 100][[1]] (* _G. C. Greubel_, Apr 08 2018 *)
%o A160211 (PARI) (933747 +224782*sqrt(2))/937^2 \\ _G. C. Greubel_, Apr 08 2018
%o A160211 (Magma) (933747 +224782*Sqrt(2))/937^2; // _G. C. Greubel_, Apr 08 2018
%Y A160211 Cf. A129974, A160209, A002193 (decimal expansion of sqrt(2)), A160210 (decimal expansion of (1179+506*sqrt(2))/937).
%K A160211 cons,nonn
%O A160211 1,2
%A A160211 _Klaus Brockhaus_, May 18 2009