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 A336077 Decimal expansion of (10*Pi + 3*sqrt(3)) / (2*Pi - 3*sqrt(3)). 1
 3, 3, 6, 8, 0, 7, 4, 6, 4, 4, 4, 3, 5, 0, 5, 2, 8, 4, 2, 9, 9, 1, 2, 5, 1, 7, 9, 5, 2, 8, 5, 9, 2, 0, 0, 8, 0, 7, 3, 6, 0, 4, 5, 8, 5, 8, 5, 3, 2, 3, 3, 8, 8, 4, 5, 0, 7, 6, 4, 3, 5, 5, 3, 4, 8, 7, 4, 0, 7, 9, 1, 1, 1, 2, 2, 3, 5, 6, 8, 0, 4, 2, 1, 1, 1, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Decimal expansion of the ratio of segment areas for arclength Pi/3 on the unit circle. In general, suppose that s in (0,Pi) is the length of an arc of the unit circle. The associated chord separates the interior into two segments. Let A1 be the area of the larger and A2 the area of the smaller. The term "ratio of segment areas" means A1/A2. See A336073 for a guide to related sequences. LINKS FORMULA Equals (2*Pi - s + sin(s))/(s - sin(s)), where s = Pi/3 = A019670. EXAMPLE 33.68074644435052842991251795285920080736045858... MAPLE s := Pi/3 ; sss := s-sin(s) ; evalf( 2*Pi/sss -1 ) ; # R. J. Mathar, Sep 02 2020 MATHEMATICA s = Pi/3; r = N[(2 Pi - s + Sin[s])/(s - Sin[s]), 200] RealDigits[r][[1]] CROSSREFS Cf. A336073. Sequence in context: A050065 A298732 A078477 * A360375 A098832 A107985 Adjacent sequences: A336074 A336075 A336076 * A336078 A336079 A336080 KEYWORD nonn,cons AUTHOR Clark Kimberling, Jul 11 2020 STATUS approved

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Last modified March 29 15:46 EDT 2023. Contains 361599 sequences. (Running on oeis4.)