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A157121 Decimal expansion of 11+3*sqrt(2).

%I A157121 #13 Feb 11 2025 15:12:03
%S A157121 1,5,2,4,2,6,4,0,6,8,7,1,1,9,2,8,5,1,4,6,4,0,5,0,6,6,1,7,2,6,2,9,0,9,
%T A157121 4,2,3,5,7,0,9,0,1,5,6,2,6,1,3,0,8,4,4,2,1,9,5,3,0,0,3,9,2,1,3,9,7,2,
%U A157121 1,9,7,4,3,5,3,8,6,3,2,1,1,1,6,5,5,1,1,6,2,6,0,2,9,8,2,9,2,4,7,1,8,2,0,5,0
%N A157121 Decimal expansion of 11+3*sqrt(2).
%C A157121 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 A157121 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 A157121 Muniru A Asiru, <a href="/A157121/b157121.txt">Table of n, a(n) for n = 2..2000</a>
%H A157121 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.
%F A157121 Equals 7+A083729 = 11+A010474. [_R. J. Mathar_, Feb 27 2009]
%e A157121 11+3*sqrt(2) = 15.24264068711928514640...
%p A157121 evalf[120](11+3*sqrt(2)); # _Muniru A Asiru_, Feb 12 2019
%t A157121 RealDigits[11+3*Sqrt[2],10,120][[1]] (* _Harvey P. Dale_, Sep 12 2012 *)
%Y A157121 Cf. A157119, A157120, A157122 (decimal expansion of 11-3*sqrt(2)), A157123 (decimal expansion of (11+3*sqrt(2))/(11-3*sqrt(2))).
%K A157121 cons,nonn
%O A157121 2,2
%A A157121 _Klaus Brockhaus_, Feb 25 2009