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A199278 Decimal expansion of x>0 satisfying 2*x^2+3*x*cos(x)=3. 3
8, 1, 3, 4, 7, 5, 0, 2, 3, 5, 5, 4, 2, 9, 3, 5, 5, 1, 0, 8, 9, 8, 9, 9, 3, 4, 1, 1, 6, 9, 3, 0, 4, 5, 9, 9, 8, 5, 1, 3, 2, 2, 5, 1, 0, 7, 6, 4, 4, 5, 2, 9, 3, 6, 4, 0, 3, 3, 1, 6, 7, 2, 4, 5, 3, 7, 1, 2, 1, 6, 3, 1, 0, 6, 1, 9, 5, 6, 3, 7, 8, 8, 5, 9, 1, 7, 3, 2, 4, 5, 3, 5, 4, 6, 6, 1, 7, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199170 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

negative: -1.3773686718388251570629963805293335...

positive:  0.8134750235542935510898993411693045...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]

RealDigits[r]    (* A199277 *)

r = x /. FindRoot[f[x] == g[x], {x, .81, .82}, WorkingPrecision -> 110]

RealDigits[r]   (* A199278 *)

CROSSREFS

Cf. A199170.

Sequence in context: A019607 A203817 A196932 * A011391 A092515 A193032

Adjacent sequences:  A199275 A199276 A199277 * A199279 A199280 A199281

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified February 24 07:45 EST 2020. Contains 332199 sequences. (Running on oeis4.)