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A159760 Decimal expansion of (10659+6110*sqrt(2))/79^2.

%I A159760 #10 Sep 08 2022 08:45:44
%S A159760 3,0,9,2,4,2,8,2,7,5,2,9,2,3,5,8,7,1,6,2,5,9,9,4,5,2,1,7,9,0,1,1,7,8,
%T A159760 5,3,8,7,0,5,4,4,7,0,6,9,1,4,8,0,7,7,6,6,8,1,7,9,7,0,0,8,8,1,1,2,8,5,
%U A159760 6,5,2,0,4,8,3,9,5,2,4,7,5,6,8,2,9,9,7,4,0,1,6,1,4,1,9,4,6,8,0,4,9,0,4,8,1
%N A159760 Decimal expansion of (10659+6110*sqrt(2))/79^2.
%C A159760 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A118676.
%C A159760 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159758.
%H A159760 G. C. Greubel, <a href="/A159760/b159760.txt">Table of n, a(n) for n = 1..10000</a>
%F A159760 Equals (130 + 47*sqrt(2))/(130 - 47*sqrt(2)).
%F A159760 Equals (3 + 2*sqrt(2))*(9 - sqrt(2))^2/(9 + sqrt(2))^2.
%e A159760 (10659+6110*sqrt(2))/79^2 = 3.09242827529235871625...
%t A159760 RealDigits[(10659 + 6110*Sqrt[2])/79^2, 10, 100][[1]] (* _G. C. Greubel_, May 21 2018 *)
%o A159760 (PARI) (10659+6110*sqrt(2))/79^2 \\ _G. C. Greubel_, May 21 2018
%o A159760 (Magma) (10659 +6110*Sqrt(2))/79^2 // _G. C. Greubel_, May 21 2018
%Y A159760 Cf. A118676, A159758, A002193 (decimal expansion of sqrt(2)), A159759 (decimal expansion of (83+18*sqrt(2))/79).
%K A159760 cons,nonn
%O A159760 1,1
%A A159760 _Klaus Brockhaus_, Apr 30 2009