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!)
A080137 Least positive integer multiples of angle x such that their direction cosines form a unit vector: sum(k>0, cos(a(k)*x)^2)=1, where a(1)=1 and x=2. 5

%I #8 Mar 30 2012 18:39:15

%S 1,2,4,7,10,12,40,139,172,183,527,538,882,11532,25022,25377,25732,

%T 26087,286602,547117,859806,1120321,1433010,2006214,3413137,5132749,

%U 5705953,10552100,15971451,21390802,26810153

%N Least positive integer multiples of angle x such that their direction cosines form a unit vector: sum(k>0, cos(a(k)*x)^2)=1, where a(1)=1 and x=2.

%o (PARI) x=2; z=cos(x)^2; a=1; for(n=1,35,b=a+1; while(z+cos(b*x)^2>1,b++); z=z+cos(b*x)^2; a=b; print1(b,","))

%Y Cf. A080136, A080138, A080139, A080140.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Jan 30 2003

%E Extended with PARI program by _Benoit Cloitre_, Feb 04 2003

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 September 1 05:33 EDT 2024. Contains 375575 sequences. (Running on oeis4.)