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%I #8 Sep 08 2022 08:45:44
%S 5,1,2,5,0,3,8,3,3,8,2,0,5,0,1,4,6,7,2,7,0,9,6,9,1,1,2,7,9,6,0,2,0,1,
%T 0,2,1,8,8,8,5,8,9,9,6,9,5,9,9,8,1,2,2,2,8,6,4,0,2,8,0,7,3,3,6,6,7,2,
%U 7,1,5,9,6,6,3,0,3,3,6,9,5,9,6,5,8,7,1,0,6,9,2,5,9,0,6,5,8,8,7,5,5,9,5,9,7
%N Decimal expansion of (2487411+1629850*sqrt(2))/967^2.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130017.
%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159701.
%H G. C. Greubel, <a href="/A159703/b159703.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals (1850 +881*sqrt(2))/(1850 -881*sqrt(2)).
%F Equals (3 +2*sqrt(2))*(44 -sqrt(2))^2/(44 +sqrt(2))^2.
%e (2487411+1629850*sqrt(2))/967^2 = 5.12503833820501467270...
%t RealDigits[(2487411+1629850*Sqrt[2])/967^2, 10, 100][[1]] (* _G. C. Greubel_, May 22 2018 *)
%o (PARI) (2487411 +1629850*sqrt(2))/967^2 \\ _G. c. Greubel_, May 22 2018
%o (Magma) (2487411 +1629850*Sqrt(2))/967^2; // _G. C. Greubel_, May 22 2018
%Y Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159702 (decimal expansion of (969+44*sqrt(2))/967).
%K cons,nonn
%O 1,1
%A _Klaus Brockhaus_, Apr 21 2009
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