login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A200365 Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x). 2

%I #9 Aug 06 2021 02:01:33

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

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

%U 3,5,2,0,6,6,6,8,5,2,2,6,9,8,9,0,5,7,0,4,9,3,6,0,8,4,2,4,5,3,8

%N Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x).

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.463351526239057300766673224348154130675667...

%t a = 2; b = 2; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200365 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011

%E Definition corrected by _Georg Fischer_, Aug 05 2021

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)