A199371 Decimal expansion of x>0 satisfying x^2+x*sin(x)=2.

1, 0, 4, 6, 1, 8, 6, 2, 2, 9, 5, 0, 6, 2, 9, 1, 9, 7, 7, 8, 9, 9, 6, 4, 8, 5, 7, 8, 3, 5, 9, 6, 9, 6, 3, 7, 9, 0, 8, 6, 7, 8, 8, 1, 2, 4, 8, 0, 0, 3, 0, 3, 7, 2, 5, 6, 6, 4, 1, 1, 9, 8, 6, 7, 3, 7, 8, 8, 6, 9, 9, 0, 5, 9, 2, 4, 3, 7, 8, 2, 2, 0, 8, 9, 8, 6, 0, 4, 9, 1, 9, 9, 0, 1, 1, 4, 3, 4, 7

Offset

1,3

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=1.04618622950629197789964857835969637908678...

Mathematica

a = 1; b = 1; c = 2;
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, 1.03, 1.04}, WorkingPrecision -> 110]
RealDigits[r]   (* A199371 *)

Crossrefs

Cf. A199370.

Sequence in context: A239809 A203999 A330823 * A156789 A375151 A195423

Adjacent sequences: A199368 A199369 A199370 * A199372 A199373 A199374

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved