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A160042 Decimal expansion of (89+36*sqrt(2))/73. 4

%I

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

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

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

%N Decimal expansion of (89+36*sqrt(2))/73.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129289.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160041.

%H G. C. Greubel, <a href="/A160042/b160042.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (9+2*sqrt(2))/(9-2*sqrt(2)).

%e (89+36*sqrt(2))/73 = 1.91659846911549892817...

%t RealDigits[(89+36Sqrt[2])/73,10,120][[1]] (* _Harvey P. Dale_, Jun 19 2011 *)

%o (PARI) (89+36*sqrt(2))/73 \\ _G. C. Greubel_, Apr 15 2018

%o (MAGMA) (89+36*Sqrt(2))/73; // _G. C. Greubel_, Apr 15 2018

%Y Cf. A129289, A160041, A002193 (decimal expansion of sqrt(2)), A160043 (decimal expansion of (5907+1802*sqrt(2))/73^2).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 04 2009

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Last modified January 25 01:49 EST 2020. Contains 331229 sequences. (Running on oeis4.)