A199794 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=4*sin(x).

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

Offset

1,3

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.175305634891943103853115216287202949720...

Mathematica

a = 3; b = -1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]
RealDigits[r]   (* A199794 *)

Crossrefs

Cf. A199597.

Sequence in context: A087273 A297879 A245510 * A106040 A320158 A085927

Adjacent sequences: A199791 A199792 A199793 * A199795 A199796 A199797

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved