%I #11 Sep 08 2022 08:45:52

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

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

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

%N Decimal expansion of sqrt(1365).

%C Continued fraction expansion of sqrt(1365) is (repeat 1, 17, 2, 17, 1, 72) preceded by 36.

%H G. C. Greubel, <a href="/A176322/b176322.txt">Table of n, a(n) for n = 2..1001</a>

%F Equals sqrt(3)*sqrt(5)*sqrt(7)*sqrt(13).

%e 36.94590640382233199163...

%p evalf( sqrt(1365), 120); # _G. C. Greubel_, Nov 26 2019

%t RealDigits[Sqrt[1365],10,120][[1]] (* _Harvey P. Dale_, Oct 09 2017 *)

%o (PARI) default(realprecision, 120); sqrt(1365) \\ _G. C. Greubel_, Nov 26 2019

%o (Magma) SetDefaultRealField(RealField(120)); Sqrt(1365); // _G. C. Greubel_, Nov 26 2019

%o (Sage) numerical_approx(sqrt(1365), digits=120) # _G. C. Greubel_, Nov 26 2019

%Y Cf. A002194 (sqrt(3)), A002163 (sqrt(5)), A010465 (sqrt(7)), A010470 (sqrt(13)).

%Y Cf. A176321 ((35+sqrt(1365))/14).

%K cons,nonn

%O 2,1

%A _Klaus Brockhaus_, Apr 15 2010