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A159643 Decimal expansion of (1084467 + 707402*sqrt(2))/647^2.

%I A159643 #10 Sep 08 2022 08:45:44
%S A159643 4,9,8,0,5,0,5,6,8,0,5,9,8,9,6,5,1,0,5,1,7,5,5,0,3,1,7,0,9,3,8,4,8,6,
%T A159643 3,6,8,3,6,8,4,3,6,9,5,1,8,7,0,1,3,1,3,6,5,6,9,2,8,7,7,1,2,4,0,3,2,4,
%U A159643 9,8,4,3,3,4,5,2,3,4,2,0,2,6,8,0,0,2,8,8,1,9,8,6,7,3,3,2,5,9,5,2,9,4,3,9,0
%N A159643 Decimal expansion of (1084467 + 707402*sqrt(2))/647^2.
%C A159643 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130013.
%C A159643 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159641.
%H A159643 G. C. Greubel, <a href="/A159643/b159643.txt">Table of n, a(n) for n = 1..10000</a>
%F A159643 Equals (1226 + 577*sqrt(2))/(1226 - 577*sqrt(2)).
%F A159643 Equals (3 + 2*sqrt(2))*(36 - sqrt(2))^2/(36 + sqrt(2))^2.
%e A159643 (1084467 + 707402*sqrt(2))/647^2 = 4.98050568059896510517...
%t A159643 RealDigits[(1084467+707402*Sqrt[2])/647^2, 10, 100][[1]] (* _G. C. Greubel_, May 10 2018 *)
%o A159643 (PARI) (1084467+707402*sqrt(2))/647^2 \\ _G. C. Greubel_, May 10 2018
%o A159643 (Magma) (1084467+707402*Sqrt(2))/647^2; // _G. C. Greubel_, May 10 2018
%Y A159643 Cf. A130013, A159641, A002193 (decimal expansion of sqrt(2)), A159642 (decimal expansion of (649+36*sqrt(2))/647).
%K A159643 cons,nonn
%O A159643 1,1
%A A159643 _Klaus Brockhaus_, Apr 21 2009