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!)
A197724 Decimal expansion of (pi^2)/(2+pi). 2
1, 9, 1, 9, 5, 6, 1, 7, 1, 2, 8, 8, 6, 4, 7, 8, 6, 5, 9, 7, 0, 1, 4, 5, 2, 6, 0, 7, 3, 7, 1, 5, 6, 5, 1, 6, 0, 7, 2, 2, 3, 2, 4, 1, 3, 3, 4, 6, 2, 9, 2, 0, 2, 3, 0, 5, 5, 7, 1, 1, 1, 0, 4, 2, 2, 2, 2, 8, 8, 6, 7, 3, 8, 4, 1, 3, 5, 7, 7, 3, 2, 1, 3, 1, 3, 2, 9, 2, 0, 5, 8, 4, 2, 8, 7, 6, 8, 4, 5 (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=1/pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.

LINKS

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

EXAMPLE

x=1.91956171288647865970145260737156516072232...

MATHEMATICA

b = 1/2; c = 1/Pi;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.9, 1.92}]

N[Pi/(2*b + 2*c), 110]

RealDigits[%]  (* A197724 *)

Simplify[Pi/(2*b + 2*c)]

Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2.8}]

CROSSREFS

Cf. A197682.

Sequence in context: A246687 A021525 A297013 * A176518 A154697 A187368

Adjacent sequences:  A197721 A197722 A197723 * A197725 A197726 A197727

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 17:50 EDT 2020. Contains 334828 sequences. (Running on oeis4.)