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 A277754 Decimal expansion of Sum_{n>=1} sin((n*Pi)/3)^n. 2
 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, 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, 8, 2, 7, 6, 3, 1, 5, 4, 6, 8, 1, 0, 9, 5, 1, 1, 1, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sum of four easily recognized geometric series that have common ratio 9/64. An algebraic number with minimal polynomial 1369x^2 - 6216x + 6468. - Charles R Greathouse IV, Oct 29 2016 LINKS Michelle Huff, Table of n, a(n) for n = 1..10000 FORMULA Equals (14/37)*(6 + sqrt(3)). EXAMPLE 2.92564084610714275971308780... MATHEMATICA r = Sqrt[3]/2; u = Simplify[r (1 + r + r^3 - r^4)/(1 - r^6)] RealDigits[N[u, 120], 10][[1]] PROG (PARI) suminf(n=1, sin((n*Pi)/3)^n) \\ Michel Marcus, Oct 29 2016 (PARI) (sqrt(3)+6)*14/37 \\ Charles R Greathouse IV, Oct 29 2016 CROSSREFS Cf. A010527, A277755. Sequence in context: A221139 A217273 A188981 * A112537 A165715 A088928 Adjacent sequences: A277751 A277752 A277753 * A277755 A277756 A277757 KEYWORD nonn,cons AUTHOR Michelle Huff, Oct 28 2016 STATUS approved

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Last modified May 28 06:10 EDT 2023. Contains 362992 sequences. (Running on oeis4.)