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A159846 Decimal expansion of (293619 + 186550*sqrt(2))/359^2. 4

%I

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

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

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

%N Decimal expansion of (293619 + 186550*sqrt(2))/359^2.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130610.

%C Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159844.

%H G. C. Greubel, <a href="/A159846/b159846.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (650 + 287*sqrt(2))/(650 - 287*sqrt(2)).

%F Equals (3 + 2*sqrt(2))*(19 - sqrt(2))^2/(19 + sqrt(2))^2.

%e (293619 + 186550*sqrt(2))/359^2 = 4.32523444154453240860...

%t RealDigits[(293619+186550Sqrt[2])/359^2,10,120][[1]] (* _Harvey P. Dale_, Jun 14 2011 *)

%o (PARI) (293619 +186550*sqrt(2))/359^2 \\ _G. C Greubel_, May 19 2018

%o (MAGMA) (293619 +186550*Sqrt(2))/359^2; // _G. C. Greubel_, May 19 2018

%Y Cf. A130610, A159844, A002193 (decimal expansion of sqrt(2)), A159845 (decimal expansion of (363+38*sqrt(2))/359).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 30 2009

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Last modified April 19 15:36 EDT 2021. Contains 343116 sequences. (Running on oeis4.)