A199740 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=3*sin(x).

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

Offset

1,2

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=1.27308071490101535925027278315193189066832...

Mathematica

a = 2; b = -1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.27, 1.28}, WorkingPrecision -> 110]
RealDigits[r]   (* A199740 *)

Crossrefs

Cf. A199597.

Sequence in context: A341093 A248683 A110987 * A229952 A200439 A356381

Adjacent sequences: A199737 A199738 A199739 * A199741 A199742 A199743

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 10 2011

Extensions

Name corrected by Sean A. Irvine, Jan 12 2025

Status

approved