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A199624 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=4*sin(x). 2
1, 3, 3, 8, 8, 7, 3, 8, 8, 9, 8, 5, 5, 4, 8, 5, 2, 6, 4, 0, 6, 2, 5, 5, 4, 1, 5, 4, 7, 5, 4, 3, 5, 2, 9, 1, 5, 6, 4, 7, 1, 6, 6, 9, 4, 4, 9, 9, 8, 4, 0, 9, 2, 9, 2, 0, 4, 5, 9, 2, 9, 2, 1, 3, 4, 5, 3, 9, 8, 8, 4, 8, 7, 3, 1, 6, 6, 9, 0, 2, 5, 1, 4, 9, 1, 7, 5, 5, 7, 6, 1, 5, 0, 2, 2, 6, 0, 9, 5 (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
EXAMPLE
x=1.33887388985548526406255415475435291...
MATHEMATICA
a = 2; b = 1; c = 4;
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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A199624 *)
CROSSREFS
Cf. A199597.
Sequence in context: A302675 A305841 A331530 * A363220 A093366 A204136
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 08 2011
STATUS
approved

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Last modified June 20 18:00 EDT 2024. Contains 373532 sequences. (Running on oeis4.)