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A198607 Decimal expansion of x < 0 satisfying 3*x^2 + 4*x = 2*sin(x). 2
7, 2, 3, 2, 9, 3, 0, 7, 1, 3, 3, 5, 8, 5, 3, 3, 3, 5, 5, 3, 5, 0, 3, 6, 4, 9, 3, 2, 0, 9, 7, 8, 9, 7, 3, 9, 2, 7, 4, 5, 7, 0, 7, 8, 4, 4, 6, 8, 6, 3, 6, 1, 1, 2, 1, 8, 6, 2, 4, 7, 0, 9, 5, 8, 5, 8, 9, 2, 7, 1, 6, 0, 6, 5, 6, 3, 9, 9, 5, 8, 3, 0, 5, 0, 9, 6, 3, 5, 9, 8, 5, 3, 8, 2, 7, 8, 0, 0, 4 (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

G. C. Greubel, Table of n, a(n) for n = 0..10000

EXAMPLE

x = -0.723293071335853335535036493209789739274570...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, .1}]

r = x /. FindRoot[f[x] == g[x], {x, -.73, -.72}, WorkingPrecision -> 110]

RealDigits[r]  (* A198607 *)

PROG

(PARI) solve(x=-1, -0.5, 3*x^2 + 4*x - 2*sin(x)) \\ Iain Fox, Dec 26 2017

CROSSREFS

Cf. A198414.

Sequence in context: A078087 A176976 A291361 * A021857 A222224 A163333

Adjacent sequences:  A198604 A198605 A198606 * A198608 A198609 A198610

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 28 2011

STATUS

approved

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Last modified July 9 05:17 EDT 2020. Contains 335538 sequences. (Running on oeis4.)