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A157122 Decimal expansion of 11 - 3*sqrt(2).

%I A157122 #15 Feb 11 2025 15:12:04
%S A157122 6,7,5,7,3,5,9,3,1,2,8,8,0,7,1,4,8,5,3,5,9,4,9,3,3,8,2,7,3,7,0,9,0,5,
%T A157122 7,6,4,2,9,0,9,8,4,3,7,3,8,6,9,1,5,5,7,8,0,4,6,9,9,6,0,7,8,6,0,2,7,8,
%U A157122 0,2,5,6,4,6,1,3,6,7,8,8,8,3,4,4,8,8,3,7,3,9,7,0,1,7,0,7,5,2,8,1,7,9,4,9,5
%N A157122 Decimal expansion of 11 - 3*sqrt(2).
%C A157122 lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119.
%C A157122 lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120.
%H A157122 G. C. Greubel, <a href="/A157122/b157122.txt">Table of n, a(n) for n = 1..10000</a>
%H A157122 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.
%e A157122 11 - 3*sqrt(2) = 6.75735931288071485359...
%t A157122 RealDigits[11 - 3*Sqrt[2], 10, 50][[1]] (* _G. C. Greubel_, Jan 27 2018 *)
%o A157122 (PARI) 11-sqrt(18) \\ _Charles R Greathouse IV_, May 07 2015
%o A157122 (Magma) 11-3*Sqrt(2) // _G. C. Greubel_, Jan 27 2018
%Y A157122 Cf. A157119, A157120, A157121 (decimal expansion of 11+3*sqrt(2)), A157123 (decimal expansion of (11+3*sqrt(2))/(11-3*sqrt(2))).
%K A157122 cons,nonn
%O A157122 1,1
%A A157122 _Klaus Brockhaus_, Feb 25 2009