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!)
A080139 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, a(n+1)>a(n) and x=3-Pi/2. 5
1, 2, 10, 12, 23, 67, 100, 111, 122, 133, 355, 588, 832, 1065, 1298, 1542, 1775, 2485, 3195, 3905, 4615, 16208, 16918, 17628, 18338, 34901, 52174, 69447, 86720, 173795, 191068, 208341, 312689, 329962, 434310, 451583, 573204, 694825, 833719, 955340 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

x=(3-Pi/2)=1.429203673205103... some terms appear in A080138 (for x=3).

LINKS

Table of n, a(n) for n=1..40.

PROG

(PARI) x=(3-Pi/2); z=cos(x)^2; a=1; for(n=1, 50, b=a+1; while(z+cos(b*x)^2>1, b++); z=z+cos(b*x)^2; a=b; print1(b, ", "))

CROSSREFS

Cf. A080136, A080137, A080138, A080140.

Sequence in context: A001363 A022367 A004686 * A055701 A176978 A186630

Adjacent sequences:  A080136 A080137 A080138 * A080140 A080141 A080142

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 30 2003

EXTENSIONS

More terms from Paul D. Hanna, Feb 12 2003, using PARI program by Benoit Cloitre.

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 May 24 21:58 EDT 2022. Contains 354043 sequences. (Running on oeis4.)