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A159467 Decimal expansion of (129+16*sqrt(2))/127.

%I A159467 #13 Jun 03 2025 15:46:44
%S A159467 1,1,9,3,9,1,6,6,6,9,2,7,5,3,5,0,5,5,7,3,2,9,3,4,6,6,1,0,9,2,4,0,5,6,
%T A159467 4,5,0,8,4,3,4,2,3,2,2,8,3,9,3,9,4,6,2,1,3,9,4,3,5,1,8,7,0,7,1,4,8,4,
%U A159467 3,8,7,3,7,4,4,4,0,4,4,9,8,1,2,7,2,4,8,9,7,6,8,1,0,4,2,6,9,8,0,4,4,3,9,0,5
%N A159467 Decimal expansion of (129+16*sqrt(2))/127.
%C A159467 lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {1, 2}, b = A129992.
%C A159467 lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {0, 2}, b = A159466.
%H A159467 G. C. Greubel, <a href="/A159467/b159467.txt">Table of n, a(n) for n = 1..10000</a>
%F A159467 (129+16*sqrt(2))/127 = (16+sqrt(2))/(16-sqrt(2)).
%e A159467 (129+16*sqrt(2))/127 = 1.19391666927535055732...
%p A159467 with(MmaTranslator[Mma]): Digits:=100:
%p A159467 RealDigits(evalf((129+16*sqrt(2))/127))[1]; # _Muniru A Asiru_, Mar 31 2018
%t A159467 RealDigits[(129+16*Sqrt[2])/127, 10, 100][[1]] (* _G. C. Greubel_, Mar 30 2018 *)
%o A159467 (PARI) (129+16*sqrt(2))/127 \\ _G. C. Greubel_, Mar 30 2018
%o A159467 (Magma) (129+16*Sqrt(2))/127; // _G. C. Greubel_, Mar 30 2018
%Y A159467 Cf. A129992, A159466, A002193 (decimal expansion of sqrt(2)), A159468 (decimal expansion of (34947+21922*sqrt(2))/127^2).
%K A159467 cons,nonn
%O A159467 1,3
%A A159467 _Klaus Brockhaus_, Apr 13 2009