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Decimal expansion of (339+26*sqrt(2))/337.
4

%I #8 Sep 08 2022 08:45:44

%S 1,1,1,5,0,4,3,1,8,2,8,5,3,7,1,0,5,9,7,2,3,6,9,2,5,5,3,9,5,5,3,2,7,0,

%T 4,7,4,9,0,4,4,8,5,0,7,0,5,0,3,8,5,9,4,9,5,2,5,9,9,2,1,8,7,8,8,9,5,4,

%U 2,7,4,3,1,5,7,2,7,4,4,1,6,3,2,3,4,7,4,7,9,9,9,6,8,1,0,6,4,3,3,4,9,8,8,4,5

%N Decimal expansion of (339+26*sqrt(2))/337.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129999.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159574.

%H G. C. Greubel, <a href="/A159575/b159575.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (26+sqrt(2))/(26-sqrt(2)).

%e (339+26*sqrt(2))/337 = 1.11504318285371059723...

%t RealDigits[(339+26*Sqrt[2])/337, 10, 100][[1]] (* _G. C. Greubel_, May 05 2018 *)

%o (PARI) (339+26*sqrt(2))/337 \\ _G. C. Greubel_, May 05 2018

%o (Magma) (339+26*Sqrt(2))/337; // _G. C. Greubel_, May 05 2018

%Y Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159576(decimal expansion of (278307+179662*sqrt(2))/337^2).

%K cons,nonn

%O 1,4

%A _Klaus Brockhaus_, Apr 16 2009