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A159576 Decimal expansion of (278307+179662*sqrt(2))/337^2.

%I A159576 #8 Sep 08 2022 08:45:44
%S A159576 4,6,8,7,7,8,8,3,6,6,9,2,2,9,7,1,9,6,1,1,6,7,2,9,9,1,7,1,1,5,5,5,3,3,
%T A159576 4,3,0,7,0,7,1,8,5,8,3,8,3,3,5,9,3,0,0,9,2,9,2,2,0,8,8,2,0,2,6,5,1,1,
%U A159576 7,2,2,2,6,0,9,5,6,6,9,3,7,1,1,6,5,8,8,4,3,9,7,9,6,3,9,9,3,1,6,9,2,6,9,0,6
%N A159576 Decimal expansion of (278307+179662*sqrt(2))/337^2.
%C A159576 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129999.
%C A159576 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159574.
%H A159576 G. C. Greubel, <a href="/A159576/b159576.txt">Table of n, a(n) for n = 1..10000</a>
%F A159576 Equals (626+287*sqrt(2))/(626-287*sqrt(2)).
%F A159576 Equals (3+2*sqrt(2))*(26-sqrt(2))^2/(26+sqrt(2))^2.
%e A159576 (278307+179662*sqrt(2))/337^2 = 4.68778836692297196116...
%t A159576 RealDigits[(278307+179662*Sqrt[2])/337^2, 10, 100][[1]] (* _G. C. Greubel_, May 05 2018 *)
%o A159576 (PARI) (278307+179662*sqrt(2))/337^2 \\ _G. C. Greubel_, May 05 2018
%o A159576 (Magma) (278307+179662*Sqrt(2))/337^2; // _G. C. Greubel_, May 05 2018
%Y A159576 Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159575 (decimal expansion of (339+26*sqrt(2))/337).
%K A159576 cons,nonn
%O A159576 1,1
%A A159576 _Klaus Brockhaus_, Apr 16 2009