login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197695 Decimal expansion of pi/(6+2*pi). 2
2, 5, 5, 7, 6, 3, 6, 7, 8, 1, 5, 2, 2, 3, 9, 2, 0, 7, 3, 2, 6, 1, 4, 4, 9, 0, 1, 0, 6, 9, 1, 9, 0, 0, 2, 4, 1, 8, 9, 1, 1, 5, 4, 8, 9, 2, 9, 0, 6, 7, 8, 2, 0, 8, 0, 4, 3, 9, 1, 7, 9, 1, 7, 0, 7, 0, 1, 9, 7, 5, 1, 8, 0, 7, 1, 6, 2, 5, 2, 2, 1, 0, 1, 3, 8, 5, 6, 3, 5, 7, 5, 2, 1, 5, 8, 0, 4, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Least x>0 such that sin(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=3 and c=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=0..98.

EXAMPLE

x=0.255763678152239207326144901069190024189115...

MATHEMATICA

b = 3; c = Pi;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .2, .3}]

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

RealDigits[%]  (* A197695 *)

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

Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .4}]

RealDigits[Pi/(6+2*Pi), 10, 120][[1]] (* Harvey P. Dale, Jun 24 2015 *)

CROSSREFS

Cf. A197682.

Sequence in context: A228587 A021395 A004599 * A245083 A233565 A121359

Adjacent sequences:  A197692 A197693 A197694 * A197696 A197697 A197698

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 December 15 17:03 EST 2019. Contains 330000 sequences. (Running on oeis4.)