The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A069818 Let x = 1.757739951145463... be smallest real number that satisfies gcd(floor(x^m),m)=1 for all integers m>0; sequence gives floor(x^n). 0
1, 3, 5, 9, 16, 29, 51, 91, 160, 281, 494, 869, 1529, 2687, 4724, 8303, 14595, 25655, 45095, 79267, 139330, 244907, 430483, 756677, 1330042, 2337869, 4109366, 7223197, 12696502, 22317149, 39227744, 68952173, 121199990, 213038065 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
If some z satisfies the condition gcd(floor(z^n),n)=1, then all positive powers of z also satisfy the condition. There are an infinite number of reals satisfying this condition; the value given here is the smallest such solution.
LINKS
FORMULA
Floor(x^n), x=1.757739951145463 approximately.
EXAMPLE
gcd(floor(x^10),10) = gcd(281,10) = 1; the floor of even powers of x is always odd.
CROSSREFS
Sequence in context: A018159 A094980 A295060 * A227233 A054180 A188223
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 29 2002
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 June 13 03:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)