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A199372 Decimal expansion of x>0 satisfying x^2+x*sin(x)=3. 2
1, 3, 1, 4, 6, 3, 4, 1, 7, 1, 9, 8, 5, 6, 7, 8, 9, 4, 9, 0, 3, 3, 6, 4, 1, 2, 8, 2, 5, 8, 7, 7, 6, 6, 9, 2, 2, 1, 4, 3, 0, 4, 9, 5, 3, 4, 9, 4, 1, 8, 8, 2, 4, 9, 3, 6, 9, 2, 4, 1, 0, 2, 5, 7, 2, 5, 6, 5, 9, 9, 6, 9, 1, 5, 4, 7, 0, 9, 3, 7, 1, 3, 2, 9, 1, 9, 7, 5, 0, 1, 1, 2, 7, 8, 7, 8, 8, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A199370 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=1.3146341719856789490336412825877669221430...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]

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

RealDigits[r]  (* A199372 *)

CROSSREFS

Cf. A199370.

Sequence in context: A060922 A143790 A135611 * A011089 A100954 A071315

Adjacent sequences:  A199369 A199370 A199371 * A199373 A199374 A199375

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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Last modified May 22 03:34 EDT 2013. Contains 225511 sequences.