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 A196772 Decimal expansion of the number c for which the curve y=1/x is tangent to the curve y=sin(x-c), and 0
 9, 6, 5, 0, 1, 6, 1, 0, 9, 7, 7, 3, 3, 4, 2, 9, 1, 0, 0, 8, 2, 9, 0, 4, 1, 2, 5, 8, 8, 0, 0, 5, 2, 6, 7, 1, 0, 5, 0, 4, 6, 6, 7, 9, 6, 5, 7, 3, 4, 0, 4, 5, 0, 4, 7, 0, 2, 3, 0, 5, 7, 5, 6, 4, 1, 8, 5, 8, 9, 6, 1, 6, 9, 8, 6, 0, 9, 5, 7, 6, 9, 1, 9, 1, 5, 4, 0, 0, 2, 8, 8, 5, 2, 1, 7, 9, 4, 1, 0, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS EXAMPLE c=0.965016109773342910082904125880052671050... MATHEMATICA Plot[{Sin[x + .97], 1/x}, {x, 0, Pi}] r = GoldenRatio; x = Sqrt[r]; c = N[Pi - x - ArcCos[r - 1], 100] RealDigits[c]      (* A196772 *) slope = N[-1/x^2, 100] RealDigits[slope]  (* 1-r *) CROSSREFS Cf. A195625, A196767. Sequence in context: A021916 A154183 A200138 * A225406 A247040 A019942 Adjacent sequences:  A196769 A196770 A196771 * A196773 A196774 A196775 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 06 2011 STATUS approved

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Last modified June 25 10:29 EDT 2019. Contains 324351 sequences. (Running on oeis4.)