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A198506 Decimal expansion of x>0 having 4*x^2+x=3*sin(x). 2
4, 7, 2, 4, 1, 2, 8, 9, 8, 9, 4, 8, 7, 9, 8, 3, 1, 8, 6, 3, 1, 2, 2, 3, 3, 0, 1, 8, 3, 4, 1, 4, 4, 5, 4, 7, 3, 0, 1, 4, 3, 6, 8, 6, 6, 2, 7, 4, 6, 8, 4, 8, 7, 8, 5, 3, 9, 2, 6, 5, 7, 8, 9, 5, 7, 0, 4, 4, 2, 7, 4, 8, 3, 7, 2, 8, 1, 4, 3, 9, 9, 8, 9, 2, 7, 6, 0, 9, 8, 2, 0, 8, 8, 8, 0, 1, 5, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.47241289894879831863122330183414454730...

MATHEMATICA

a = 4; b = 1; c = 3;

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

Plot[{f[x], g[x]}, {x, -.2, .6}]

r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]

RealDigits[r] (* A198506 *)

CROSSREFS

Cf. A198414.

Sequence in context: A201403 A011351 A132026 * A130882 A164106 A348930

Adjacent sequences: A198503 A198504 A198505 * A198507 A198508 A198509

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 25 2011

STATUS

approved

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Last modified November 29 18:13 EST 2022. Contains 358431 sequences. (Running on oeis4.)