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A199460 Decimal expansion of x>0 satisfying x=2*sin(x). 5
1, 8, 9, 5, 4, 9, 4, 2, 6, 7, 0, 3, 3, 9, 8, 0, 9, 4, 7, 1, 4, 4, 0, 3, 5, 7, 3, 8, 0, 9, 3, 6, 0, 1, 6, 9, 1, 7, 5, 1, 3, 4, 6, 6, 2, 7, 3, 8, 5, 4, 2, 3, 9, 6, 2, 0, 0, 0, 1, 7, 7, 4, 8, 9, 5, 9, 3, 2, 7, 8, 5, 4, 5, 3, 1, 8, 8, 7, 7, 2, 1, 5, 7, 8, 0, 4, 4, 5, 4, 5, 2, 9, 4, 0, 3, 7, 5, 9, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A199429 for a guide to related sequences.  The Mathematica program includes a graph.

A solution to the functional equation f'(z) = f(z+1)-f(z-1) is f(z) = exp(x*i*z). - Jean-Fran├žois Alcover, Apr 04 2014

LINKS

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

EXAMPLE

1.895494267033980947144035738093601691751...

MATHEMATICA

a = 1; b = -2; c = 0;

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

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

r = x /.  FindRoot[f[x] == g[x], {x, 1.89, 1.90}, WorkingPrecision -> 110]

RealDigits[r]  (* A199460 greatest of three roots *)

CROSSREFS

Cf. A199429.

Sequence in context: A029689 A201294 A199383 * A245772 A190289 A198119

Adjacent sequences:  A199457 A199458 A199459 * A199461 A199462 A199463

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified March 27 02:45 EDT 2017. Contains 284144 sequences.