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 A199720 Decimal expansion of x>0 satisfying x^2-x*cos(x)=3*sin(x). 2
 1, 6, 7, 5, 7, 1, 3, 3, 5, 8, 1, 7, 7, 0, 1, 5, 2, 7, 0, 4, 0, 5, 4, 3, 4, 8, 9, 1, 5, 2, 9, 3, 0, 4, 6, 0, 2, 9, 7, 1, 7, 0, 1, 7, 0, 7, 7, 6, 4, 1, 4, 8, 9, 9, 7, 3, 1, 7, 4, 6, 6, 7, 6, 8, 1, 8, 4, 0, 9, 5, 0, 6, 8, 2, 0, 7, 2, 6, 1, 6, 0, 3, 0, 4, 1, 5, 2, 6, 7, 8, 4, 1, 6, 2, 3, 6, 8, 4, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A199597 for a guide to related sequences. The Mathematica program includes a graph. LINKS Table of n, a(n) for n=1..99. EXAMPLE x=1.67571335817701527040543489152930460297170170... MATHEMATICA a = 1; b = -1; c = 3; f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110] RealDigits[r] (* A199720 *) CROSSREFS Cf. A199597. Sequence in context: A201519 A198507 A021152 * A157122 A193030 A035414 Adjacent sequences: A199717 A199718 A199719 * A199721 A199722 A199723 KEYWORD nonn,cons AUTHOR Clark Kimberling, Nov 09 2011 STATUS approved

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Last modified September 18 13:18 EDT 2024. Contains 376000 sequences. (Running on oeis4.)