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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A197727 Decimal expansion of 2*Pi/(2+Pi). 2
 1, 2, 2, 2, 0, 3, 0, 9, 4, 0, 7, 0, 3, 3, 1, 4, 5, 7, 8, 7, 6, 1, 1, 9, 0, 7, 7, 5, 9, 0, 7, 9, 3, 7, 7, 2, 3, 4, 7, 4, 8, 4, 5, 2, 6, 5, 9, 1, 2, 1, 8, 5, 5, 9, 0, 4, 1, 7, 8, 3, 3, 5, 5, 0, 0, 8, 4, 9, 2, 9, 6, 6, 7, 8, 7, 2, 6, 3, 1, 6, 7, 7, 3, 1, 4, 7, 4, 2, 7, 6, 6, 9, 1, 3, 3, 4, 8, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Least x>0 such that sin(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=1/2 and c=Pi/4; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences. One-half of the harmonic mean of 2 and Pi. - Wesley Ivan Hurt, Sep 02 2014 LINKS EXAMPLE x=1.22203094070331457876119077590793772347484... MAPLE Digits:=100: evalf(2*Pi/(2+Pi)); # Wesley Ivan Hurt, Sep 02 2014 MATHEMATICA b = 1/2; c = Pi/4; t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.22, 1.23}] N[Pi/(2*b + 2*c), 110] RealDigits[%]  (* A197727 *) Simplify[Pi/(2*b + 2*c)] Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2}] CROSSREFS Cf. A197682. Sequence in context: A319109 A217670 A243310 * A176884 A308361 A071443 Adjacent sequences:  A197724 A197725 A197726 * A197728 A197729 A197730 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 17 2011 STATUS approved

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.

Last modified April 10 08:09 EDT 2021. Contains 342845 sequences. (Running on oeis4.)