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 A277755 #12 Dec 12 2023 18:34:06 %S A277755 4,6,1,0,8,7,9,4,6,9,6,8,7,6,7,2,0,1,8,2,8,0,3,3,2,8,9,3,9,2,6,8,5,4, %T A277755 5,4,9,9,2,2,7,0,9,8,0,2,4,4,6,4,6,0,3,0,8,1,8,3,5,2,2,9,4,5,2,0,5,3, %U A277755 1,4,8,8,7,7,1,4,5,9,4,6,4,4,7,0,4,2 %N A277755 Decimal expansion of Sum_{n>=1} |sin((n*Pi)/3)|^n. %H A277755 Michelle Huff, <a href="/A277755/b277755.txt">Table of n, a(n) for n = 1..10000</a> %e A277755 (2/37)*(42 + 25 Sqrt[3]) = 4.61087946968767201828033289392685454992..., the sum of two easily recognized geometric series that have common ratio (3/4)^(3/2). %t A277755 r = Sqrt[3]/2; u = Simplify[r (1 + r)/(1 - r^3)] %t A277755 RealDigits[N[u, 1200], 10][[1]] %o A277755 (PARI) suminf(n=1, abs(sin((n*Pi)/3))^n) \\ _Michel Marcus_, Oct 29 2016 %Y A277755 Cf. A010527, A277754. %K A277755 nonn,cons %O A277755 1,1 %A A277755 _Michelle Huff_, Oct 28 2016