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A160575 Decimal expansion of (363+130*sqrt(2))/313. 4

%I

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

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

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

%N Decimal expansion of (363+130*sqrt(2))/313.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129640.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160574.

%H G. C. Greubel, <a href="/A160575/b160575.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (26+5*sqrt(2))/(26-5*sqrt(2)).

%e (363+130*sqrt(2))/313 = 1.74711745402077430141...

%t RealDigits[(363 +130*Sqrt[2])/313, 10, 100][[1]] (* _G. C. Greubel_, Apr 08 2018 *)

%o (PARI) (363 +130*sqrt(2))/313 \\ _G. C. Greubel_, Apr 08 2018

%o (MAGMA) (363 +130*Sqrt(2))/313; // _G. C. Greubel_, Apr 08 2018

%Y Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160576 (decimal expansion of (119187+47998*sqrt(2))/313^2).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, Jun 08 2009

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Last modified January 28 22:40 EST 2020. Contains 331328 sequences. (Running on oeis4.)