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A198578 Decimal expansion of x>0 satisfying 2*x^2-4x=3*sin(x). 2
2, 4, 1, 3, 5, 4, 7, 7, 4, 2, 1, 1, 6, 9, 0, 9, 7, 6, 6, 0, 1, 4, 3, 0, 9, 2, 8, 4, 2, 1, 1, 6, 2, 3, 7, 3, 0, 0, 2, 6, 0, 3, 6, 5, 3, 7, 8, 7, 8, 5, 0, 7, 7, 7, 0, 3, 8, 2, 8, 3, 1, 1, 0, 5, 7, 6, 4, 0, 2, 8, 1, 5, 4, 2, 1, 7, 3, 2, 7, 1, 3, 9, 4, 3, 6, 4, 0, 2, 3, 3, 4, 1, 9, 6, 9, 5, 0, 5, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A198414 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=2.41354774211690976601430928421162373002603...

MATHEMATICA

a = 2; b = -4; c = 3;

f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

Plot[{f[x], g[x]}, {x, -.2, 2.5}]

r = x /. FindRoot[f[x] == g[x], {x, 2.4, 2.5}, WorkingPrecision -> 110]

RealDigits[r] (* A198578 *)

CROSSREFS

Cf. A198414.

Sequence in context: A211197 A258246 A258240 * A173658 A277618 A219250

Adjacent sequences:  A198575 A198576 A198577 * A198579 A198580 A198581

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 27 2011

STATUS

approved

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Last modified October 24 14:44 EDT 2021. Contains 348233 sequences. (Running on oeis4.)