cp's OEIS Frontend

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.

A277754 Decimal expansion of Sum_{n>=1} sin((n*Pi)/3)^n.

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%I A277754 #20 Nov 08 2016 07:44:15
%S A277754 2,9,2,5,6,4,0,8,4,6,1,0,7,1,4,2,7,5,9,7,1,3,0,8,7,8,0,4,8,9,4,1,1,3,
%T A277754 8,6,8,5,7,2,9,5,3,3,3,9,2,7,9,6,0,3,4,8,0,8,8,5,9,8,1,0,1,9,2,5,2,0,
%U A277754 8,2,7,6,3,1,5,4,6,8,1,0,9,5,1,1,1,7
%N A277754 Decimal expansion of Sum_{n>=1} sin((n*Pi)/3)^n.
%C A277754 The sum of four easily recognized geometric series that have common ratio 9/64.
%C A277754 An algebraic number with minimal polynomial 1369x^2 - 6216x + 6468. - _Charles R Greathouse IV_, Oct 29 2016
%H A277754 Michelle Huff, <a href="/A277754/b277754.txt">Table of n, a(n) for n = 1..10000</a>
%F A277754 Equals (14/37)*(6 + sqrt(3)).
%e A277754 2.92564084610714275971308780...
%t A277754 r = Sqrt[3]/2; u = Simplify[r (1 + r + r^3 - r^4)/(1 - r^6)]
%t A277754 RealDigits[N[u, 120], 10][[1]]
%o A277754 (PARI) suminf(n=1, sin((n*Pi)/3)^n) \\ _Michel Marcus_, Oct 29 2016
%o A277754 (PARI) (sqrt(3)+6)*14/37 \\ _Charles R Greathouse IV_, Oct 29 2016
%Y A277754 Cf. A010527, A277755.
%K A277754 nonn,cons
%O A277754 1,1
%A A277754 _Michelle Huff_, Oct 28 2016