cp's OEIS Frontend

A160056 Decimal expansion of (107+42*sqrt(2))/89.

%I A160056 #8 Sep 08 2022 08:45:44
%S A160056 1,8,6,9,6,2,8,8,7,2,1,3,1,1,2,3,5,0,6,1,7,6,0,7,7,8,2,4,9,0,7,9,4,7,
%T A160056 4,0,7,8,6,4,3,3,9,5,3,6,6,9,4,7,3,9,5,4,0,1,5,0,7,9,2,6,8,5,3,4,3,9,
%U A160056 4,1,1,6,9,6,1,1,3,3,1,4,1,1,5,9,2,3,1,7,7,1,2,8,2,8,7,7,4,6,7,4,7,7,3,8,2
%N A160056 Decimal expansion of (107+42*sqrt(2))/89.
%C A160056 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129298.
%C A160056 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160055.
%H A160056 G. C. Greubel, <a href="/A160056/b160056.txt">Table of n, a(n) for n = 1..10000</a>
%F A160056 Equals (14+3*sqrt(2))/(14-3*sqrt(2)).
%e A160056 (107+42*sqrt(2))/89 = 1.86962887213112350617...
%t A160056 RealDigits[(107+42*Sqrt[2])/89, 10, 100][[1]] (* _G. C. Greubel_, Apr 15 2018 *)
%o A160056 (PARI) (107+42*sqrt(2))/89 \\ _G. C. Greubel_, Apr 15 2018
%o A160056 (Magma) (107+42*Sqrt(2))/89; // _G. C. Greubel_, Apr 15 2018
%Y A160056 Cf. A129298, A160055, A002193 (decimal expansion of sqrt(2)), A160057 (decimal expansion of (8979+2990*sqrt(2))/89^2).
%K A160056 cons,nonn
%O A160056 1,2
%A A160056 _Klaus Brockhaus_, May 04 2009