|
%I #12 Sep 08 2022 08:45:44
%S 1,0,6,6,4,1,7,1,6,3,1,2,7,6,2,7,9,0,2,9,4,4,4,4,0,8,5,1,9,8,0,5,8,6,
%T 0,5,5,2,8,1,3,5,0,1,1,6,3,5,6,3,4,5,1,0,3,6,3,9,8,9,0,2,8,7,9,7,4,7,
%U 5,9,2,8,5,4,7,2,9,3,9,7,2,0,4,8,5,4,3,6,4,5,4,5,0,9,2,2,0,5,0,5,8,9,4,8,7
%N Decimal expansion of (969 + 44*sqrt(2))/967.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130017.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159701.
%H G. C. Greubel, <a href="/A159702/b159702.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals (44 + sqrt(2))/(44 - sqrt(2)).
%e (969 + 44*sqrt(2))/967 = 1.06641716312762790294...
%t RealDigits[(969 +44*Sqrt[2])/967, 10, 100][[1]] (* _G. C. Greubel_, May 22 2018 *)
%o (PARI) (969 +44*sqrt(2))/967 \\ _G. C. Greubel_, May 22 2018
%o (Magma) (969 +44*Sqrt(2))/967; // _G. C. Greubel_, May 22 2018
%Y Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159703 (decimal expansion of (2487411+1629850*sqrt(2))/967^2).
%K cons,nonn
%O 1,3
%A _Klaus Brockhaus_, Apr 21 2009
|
