A176318 - OEIS

%I #8 Sep 08 2022 08:45:52

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

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

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

%N Decimal expansion of (15 + sqrt(285))/6.

%C Continued fraction expansion of (15+sqrt(285))/6 is A010703 preceded by 5.

%H G. C. Greubel, <a href="/A176318/b176318.txt">Table of n, a(n) for n = 1..1000</a>

%e (15+sqrt(285))/6 = 5.31365716935568869718...

%p evalf( (15+sqrt(285))/6, 120); # _G. C. Greubel_, Nov 26 2019

%t RealDigits[(15+Sqrt[285])/6,10,120][[1]] (* _Harvey P. Dale_, May 07 2017 *)

%o (PARI) default(realprecision, 120); (15+sqrt(285))/6 \\ _G. C. Greubel_, Nov 26 2019

%o (Magma) SetDefaultRealField(RealField(120)); (15 + Sqrt(285))/6; // _G. C. Greubel_, Nov 26 2019

%o (Sage) numerical_approx((15+sqrt(285))/6, digits=120) # _G. C. Greubel_, Nov 26 2019

%Y Cf. A176104 (decimal expansion of sqrt(285)), A010703 (repeat 3, 5).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 15 2010