A176321 - OEIS

%I #18 May 05 2026 00:31:47

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

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

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

%N Decimal expansion of (35 + sqrt(1365))/14.

%C Continued fraction expansion of (35+sqrt(1365))/14 is A010718.

%H Vincenzo Librandi, <a href="/A176321/b176321.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.

%F Minimal polynomial: 7*x^2 - 35*x - 5. - _Amiram Eldar_, May 04 2026

%e 5.13899331455873799940254368569979586117971244451225...

%p evalf( (35+sqrt(1365))/14, 120); # _G. C. Greubel_, Nov 26 2019

%t RealDigits[(35 + Sqrt[1365])/14, 10, 100][[1]] (* _Vincenzo Librandi_, Sep 24 2013 *)

%o (PARI) default(realprecision, 120); (35+sqrt(1365))/14 \\ _G. C. Greubel_, Nov 26 2019

%o (Magma) SetDefaultRealField(RealField(120)); (35+Sqrt(1365))/14; // _G. C. Greubel_, Nov 26 2019

%o (SageMath) numerical_approx((35+sqrt(1365))/14, digits=120) # _G. C. Greubel_, Nov 26 2019

%Y Cf. A176322 (decimal expansion of sqrt(1365)), A010718 (repeat 5, 7).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 15 2010