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A159628 Decimal expansion of (855171 + 556990*sqrt(2))/577^2.

%I A159628 #12 Sep 08 2022 08:45:44
%S A159628 4,9,3,4,6,0,7,1,1,4,7,4,8,7,6,0,8,8,0,6,4,4,3,7,9,4,3,9,7,5,3,0,9,9,
%T A159628 7,0,8,2,9,3,7,2,4,9,0,1,9,0,4,6,2,9,2,3,7,1,0,0,6,3,9,6,1,7,6,4,6,5,
%U A159628 7,9,5,5,0,5,3,0,6,2,0,6,4,1,5,4,6,0,2,7,3,8,9,4,5,8,8,7,2,8,5,1,5,6,1,9,7
%N A159628 Decimal expansion of (855171 + 556990*sqrt(2))/577^2.
%C A159628 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130005.
%C A159628 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159626.
%H A159628 G. C. Greubel, <a href="/A159628/b159628.txt">Table of n, a(n) for n = 1..10000</a>
%F A159628 Equals (2180 + 1022*sqrt(2))/(2180 - 1022*sqrt(2)).
%F A159628 Equals (3 + 2*sqrt(2))*(34 - sqrt(2))^2/(34 + sqrt(2))^2.
%e A159628 (855171 + 556990*sqrt(2))/577^2 = 4.93460711474876088064...
%t A159628 RealDigits[(855171+556990Sqrt[2])/577^2,10,120][[1]] (* _Harvey P. Dale_, Aug 15 2012 *)
%o A159628 (PARI) (855171+556990*sqrt(2))/577^2 \\ _G. C. Greubel_, May 10 2018
%o A159628 (Magma) (855171+556990*Sqrt(2))/577^2; // _G. C. Greubel_, May 10 2018
%Y A159628 Cf. A130005, A159626, A002193 (decimal expansion of sqrt(2)), A159627 (decimal expansion of (579+34*sqrt(2))/577).
%K A159628 cons,nonn
%O A159628 1,1
%A A159628 _Klaus Brockhaus_, Apr 21 2009