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A157470 Decimal expansion of (99+14*sqrt(2))/97.

%I A157470 #12 Oct 05 2024 18:16:39
%S A157470 1,2,2,4,7,3,1,8,5,4,3,6,3,1,2,7,1,2,0,4,4,5,6,0,4,5,5,8,1,3,3,3,5,8,
%T A157470 4,8,5,5,6,6,7,5,6,7,6,5,5,1,8,3,2,2,4,0,2,3,1,4,1,5,9,9,6,2,1,8,4,2,
%U A157470 2,9,4,2,9,8,8,1,1,2,8,8,5,0,9,6,8,0,9,7,1,6,9,9,0,2,9,5,8,5,7,7,5,0,8,1,4
%N A157470 Decimal expansion of (99+14*sqrt(2))/97.
%C A157470 lim_{n -> infinity} b(n)/b(n-1) = (99+14*sqrt(2))/97 for n mod 3 = {1, 2}, b = A129836.
%C A157470 lim_{n -> infinity} b(n)/b(n-1) = (99+14*sqrt(2))/97 for n mod 3 = {0, 2}, b = A157469.
%H A157470 G. C. Greubel, <a href="/A157470/b157470.txt">Table of n, a(n) for n = 1..10000</a>
%F A157470 Equals (14+sqrt(2))/(14-sqrt(2)).
%e A157470 (99+14*sqrt(2))/97 = 1.22473185436312712044...
%p A157470 with(MmaTranslator[Mma]): Digits:=100:
%p A157470 RealDigits(evalf((99+14*sqrt(2))/97))[1]; # _Muniru A Asiru_, Mar 31 2018
%t A157470 RealDigits[(99+14*Sqrt[2])/97, 10, 100][[1]] (* _G. C. Greubel_, Mar 30 2018 *)
%o A157470 (PARI) (99+14*sqrt(2))/97 \\ _G. C. Greubel_, Mar 30 2018
%o A157470 (Magma) (99+14*Sqrt(2))/97; // _G. C. Greubel_, Mar 30 2018
%Y A157470 Cf. A129836, A157469, A002193 (decimal expansion of sqrt(2)), A157471 (decimal expansion of (19491+12070*sqrt(2))/97^2).
%K A157470 cons,nonn,easy
%O A157470 1,2
%A A157470 _Klaus Brockhaus_, Mar 12 2009