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A159779 Decimal expansion of (56211+34510*sqrt(2))/167^2.

%I A159779 #10 Sep 08 2022 08:45:44
%S A159779 3,7,6,5,4,8,1,3,7,3,9,2,8,6,2,8,1,3,7,7,6,5,6,5,2,3,3,1,4,7,3,9,3,8,
%T A159779 8,5,3,7,2,1,5,1,6,5,9,8,6,3,2,3,8,1,1,5,4,0,5,0,9,5,9,7,9,6,2,6,5,9,
%U A159779 1,7,6,6,7,6,0,1,1,0,8,4,6,2,5,0,2,3,0,8,2,1,5,0,5,4,2,1,1,7,2,0,5,7,3,8,9
%N A159779 Decimal expansion of (56211+34510*sqrt(2))/167^2.
%C A159779 Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130608.
%C A159779 Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159777.
%H A159779 G. C. Greubel, <a href="/A159779/b159779.txt">Table of n, a(n) for n = 1..10000</a>
%F A159779 Equals (290 + 119*sqrt(2))/(290 - 119*sqrt(2)).
%F A159779 Equals (3 + 2*sqrt(2))*(13 - sqrt(2))^2/(13 + sqrt(2))^2.
%e A159779 (56211+34510*sqrt(2))/167^2 = 3.76548137392862813776...
%t A159779 RealDigits[(56211 +34510*Sqrt[2])/167^2, 10, 100][[1]] (* _G. C. Greubel_, May 21 2018 *)
%o A159779 (PARI) (56211 +34510*sqrt(2))/167^2 \\ _G. C. Greubel_, May 21 2018
%o A159779 (Magma) (56211 +34510*Sqrt(2))/167^2 // _G. C. Greubel_, May 21 2018
%Y A159779 Cf. A130608, A159777, A002193 (decimal expansion of sqrt(2)), A159778 (decimal expansion of (171+26*sqrt(2))/167).
%K A159779 cons,nonn
%O A159779 1,1
%A A159779 _Klaus Brockhaus_, Apr 30 2009