login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A198816 Decimal expansion of x>0 satisfying x^2-cos(x)=1. 2

%I

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

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

%U 6,6,3,7,4,4,1,5,1,3,5,9,0,7,3,4,3,3,0,0,4,7,1,5,7,1,5,9,2,7,1

%N Decimal expansion of x>0 satisfying x^2-cos(x)=1.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.17650193990183240044737726873104098662371235...

%t a = 1; b = -1; c = 1;

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

%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198816 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 30 2011

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 08:51 EDT 2021. Contains 345416 sequences. (Running on oeis4.)