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A159627 Decimal expansion of (579 + 34*sqrt(2))/577.

%I A159627 #10 Sep 08 2022 08:45:44
%S A159627 1,0,8,6,7,9,9,4,1,2,6,8,7,4,9,6,0,6,8,7,3,3,5,4,8,3,8,2,3,6,2,4,4,3,
%T A159627 2,1,4,3,3,5,1,2,7,9,7,8,7,9,1,7,0,9,2,4,5,2,1,3,1,8,3,9,0,1,3,7,2,0,
%U A159627 7,0,8,9,1,2,7,8,5,2,9,7,0,4,1,9,5,6,9,0,0,8,0,0,1,2,3,7,4,0,2,6,8,1,6,2,7
%N A159627 Decimal expansion of (579 + 34*sqrt(2))/577.
%C A159627 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130005.
%C A159627 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159626.
%H A159627 G. C. Greubel, <a href="/A159627/b159627.txt">Table of n, a(n) for n = 1..10000</a>
%F A159627 Equals (34 + sqrt(2))/(34 - sqrt(2)).
%e A159627 (579 + 34*sqrt(2))/577 = 1.08679941268749606873...
%t A159627 RealDigits[(579+34*Sqrt[2])/577, 10, 100][[1]] (* _G. C. Greubel_, May 10 2018 *)
%o A159627 (PARI) (579+34*sqrt(2))/577 \\ _G. C. Greubel_, May 10 2018
%o A159627 (Magma) (579+34*Sqrt(2))/577; // _G. C. Greubel_, May 10 2018
%Y A159627 Cf. A130005, A159626, A002193 (decimal expansion of sqrt(2)), A159628 (decimal expansion of (855171+556990*sqrt(2))/577^2).
%K A159627 cons,nonn
%O A159627 1,3
%A A159627 _Klaus Brockhaus_, Apr 21 2009