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%I #8 Sep 08 2022 08:45:41
%S 2,9,7,7,2,2,0,1,4,2,3,7,7,4,6,8,4,0,4,7,6,3,6,0,3,8,4,4,2,4,9,3,7,2,
%T 6,8,9,2,7,1,5,4,5,0,0,0,0,1,9,5,7,1,6,4,9,5,4,7,2,7,0,3,0,4,5,8,0,2,
%U 4,3,8,1,0,1,9,5,3,9,8,3,4,6,4,0,8,3,5,1,9,2,0,6,4,7,5,5,5,5,5,6,4,1,8,1,6
%N Decimal expansion of (130803 + 73738*sqrt(2))/281^2.
%C lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 0, b = A129626.
%C lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 1, b = A157348.
%H G. C. Greubel, <a href="/A157350/b157350.txt">Table of n, a(n) for n = 1..10000</a>
%F (130803 + 73738*sqrt(2))/281^2 = (458 + 161*sqrt(2))/(458 - 161*sqrt(2)) = (3 + 2*sqrt(2))*(17 - 2*sqrt(2))^2/(17 + 2*sqrt(2))^2.
%e (130803 + 73738*sqrt(2))/281^2 = 2.97722014237746840476...
%t RealDigits[(130803 + 73738*Sqrt[2])/281^2, 10, 100][[1]] (* _G. C. Greubel_, Feb 01 2018 *)
%o (PARI) (130803+73738*sqrt(2))/281^2 \\ _G. C. Greubel_, Feb 01 2018
%o (Magma) (130803+73738*Sqrt(2))/281^2 // _G. C. Greubel_, Feb 01 2018
%Y Cf. A129626, A157348, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157349 (decimal expansion of (297+68*sqrt(2))/281).
%K cons,nonn
%O 1,1
%A _Klaus Brockhaus_, Apr 12 2009
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