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Decimal expansion of (15 + sqrt(255))/6.
2

%I #9 Sep 08 2022 08:45:52

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

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

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

%N Decimal expansion of (15 + sqrt(255))/6.

%C Continued fraction expansion of (15+sqrt(255))/6 is A010717.

%H Vincenzo Librandi, <a href="/A176320/b176320.txt">Table of n, a(n) for n = 1..1000</a>

%e (15+sqrt(255))/6 = 5.16145323711188533317...

%p evalf( (15+sqrt(255))/6, 120); # _G. C. Greubel_, Nov 26 2019

%t RealDigits[(15+Sqrt[255])/6, 10,100][[1]] (* _Vincenzo Librandi_, Sep 24 2013 *)

%o (PARI) default(realprecision, 120); (15+sqrt(255))/6 \\ _G. C. Greubel_, Nov 26 2019

%o (Magma) SetDefaultRealField(RealField(120)); (15+Sqrt(255))/6; // _G. C. Greubel_, Nov 26 2019

%o (Sage) numerical_approx((15+sqrt(255))/6, digits=120) # _G. C. Greubel_, Nov 26 2019

%Y Cf. A176110 (decimal expansion of sqrt(255)), A010717 (repeat 5, 6).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 15 2010