This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A334843 #7 Feb 11 2025 09:51:43 %S A334843 6,3,3,9,7,4,5,9,6,2,1,5,5,6,1,3,5,3,2,3,6,2,7,6,8,2,9,2,4,7,0,6,3,8, %T A334843 1,6,5,2,8,5,9,7,3,7,3,0,9,4,8,0,9,6,8,5,9,7,2,0,9,6,5,1,0,2,7,4,0,3, %U A334843 3,4,9,1,5,4,5,5,9,9,9,8,1,4,5,9,4,2 %N A334843 Decimal expansion of arclength between (0,0) and (Pi/6,1/2) on y = sin x. %H A334843 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>. %F A334843 arclength = (3 - sqrt(3))/2. %e A334843 arclength = 0.63397459621556135323627682924706381652859737309480968... %t A334843 s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, Pi/4}] %t A334843 r = N[s, 200] %t A334843 RealDigits[r][[1]] %o A334843 (PARI) (3 - sqrt(3))/2 \\ _Charles R Greathouse IV_, Feb 11 2025 %Y A334843 Cf. A333202, A332633, A334842. %K A334843 nonn,cons,easy %O A334843 0,1 %A A334843 _Clark Kimberling_, Jun 15 2020