cp's OEIS Frontend

A159567 Decimal expansion of (137283+87958*sqrt(2))/241^2.

%I A159567 #8 Sep 08 2022 08:45:44
%S A159567 4,5,0,5,3,3,5,5,9,2,0,0,4,4,8,8,4,6,0,9,8,5,5,0,1,9,1,6,3,5,8,8,1,9,
%T A159567 9,8,5,7,9,2,7,9,2,8,0,3,4,0,2,2,4,1,6,7,3,1,8,8,7,2,6,0,2,7,3,4,4,3,
%U A159567 7,8,4,9,4,5,2,6,0,9,3,0,5,8,3,7,0,2,4,8,2,1,7,9,0,9,3,1,1,0,9,0,6,2,5,6,1
%N A159567 Decimal expansion of (137283+87958*sqrt(2))/241^2.
%C A159567 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129991.
%C A159567 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159565.
%H A159567 G. C. Greubel, <a href="/A159567/b159567.txt">Table of n, a(n) for n = 1..10000</a>
%F A159567 Equals (442+199*sqrt(2))/(442-199*sqrt(2)).
%F A159567 Equals (3+2*sqrt(2))*(22-sqrt(2))^2/(22+sqrt(2))^2.
%e A159567 (137283+87958*sqrt(2))/241^2 = 4.50533559200448846098...
%t A159567 RealDigits[(137283+87958*Sqrt[2])/241^2, 10, 100][[1]] (* _G. C. Greubel_, May 05 2018 *)
%o A159567 (PARI) (137283+87958*sqrt(2))/241^2 \\ _G. C. Greubel_, May 05 2018
%o A159567 (Magma) (137283+87958*Sqrt(2))/241^2; // _G. C. Greubel_, May 05 2018
%Y A159567 Cf. A129991, A159565, A002193 (decimal expansion of sqrt(2)), A159566 (decimal expansion of (243+22*sqrt(2))/241).
%K A159567 cons,nonn
%O A159567 1,1
%A A159567 _Klaus Brockhaus_, Apr 16 2009