A160213 - OEIS

%I #12 Sep 08 2022 08:45:44

%S 1,2,0,0,8,0,0,0,8,5,7,6,5,2,2,9,5,7,6,1,2,9,4,9,5,6,9,9,6,8,7,3,0,5,

%T 9,4,0,9,6,8,1,4,1,9,8,5,8,8,3,2,5,4,5,2,3,6,8,7,2,0,7,0,1,7,3,2,5,1,

%U 3,2,0,3,2,8,7,4,3,9,7,9,7,7,7,7,2,7,6,8,1,5,7,6,6,6,9,7,5,3,9,8,7,6,0,9,0

%N Decimal expansion of (969+124*sqrt(2))/953.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129975.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160212.

%H G. C. Greubel, <a href="/A160213/b160213.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (31+2*sqrt(2))/(31-2*sqrt(2)).

%e (969+124*sqrt(2))/953 = 1.20080008576522957612...

%t RealDigits[(969 +124*Sqrt[2])/953, 10, 100][[1]] (* _G. C. Greubel_, Apr 08 2018 *)

%o (PARI) (969 +124*sqrt(2))/953 \\ _G. C. Greubel_, Apr 08 2018

%o (Magma) (969 +124*Sqrt(2))/953; // _G. C. Greubel_, Apr 08 2018

%Y Cf. A129975, A160212, A002193 (decimal expansion of sqrt(2)), A160214 (decimal expansion of (1947891+1218490*sqrt(2))/953^2).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 18 2009