Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
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!)
A081785 Continued cotangent for log(2). 0
0, 1, 5, 55, 14187, 314681540, 254841004490568887, 116515298784769863036311841843812470, 16752745298264669840183664790312981823804061660537952218518280274360024 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
log(2)=cot(sum(n>=0, n, (-1)^n*acot(a(n))); let b(0)=log(2), b(n)=(b(n-1)*floor(b(n-1))+1)/(b(n-1)-floor(b(n-1)) then a(n)=floor(b(n))
PROG
(PARI) b(n)=if(n<0, 0, bn[n]);
bn=vector(100); bn[1]=log(2); for(n=2, 10, bn[n]=(b(n-1)*floor(b(n-1))+1)/(b(n-1)-floor(b(n-1))))
a(n)=floor(b(n+1))
CROSSREFS
Sequence in context: A068666 A082780 A063855 * A144996 A129440 A045729
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Apr 10 2003
STATUS
approved

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 July 24 04:38 EDT 2024. Contains 374575 sequences. (Running on oeis4.)