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!)
A257309 Perfect hyper-4 powers: a^^b, where b <> 1. 4
0, 1, 4, 16, 27, 256, 3125, 46656, 65536, 823543, 16777216, 387420489, 10000000000, 285311670611, 7625597484987, 8916100448256, 302875106592253, 11112006825558016, 437893890380859375, 18446744073709551616, 827240261886336764177, 39346408075296537575424, 1978419655660313589123979, 104857600000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
a^^b is the right associative power tower a^a^...^a^a of height b. a^^-1= 0 and a^^0 = 1. We exclude b=1 because otherwise all natural numbers would be in the sequence.
LINKS
EXAMPLE
Numbers written as power towers include:
5^^2 = 5^5 = 3125;
3^^3 = 3^3^3 = 3^27 = 7625597484987;
2^^4 = 2^2^2^2 = 2^2^4 = 2^16 = 65536;
0^^5 = 0^0^0^0^0 = 0^0^0^1 = 0^0^0 = 0^1 = 0;
CROSSREFS
Sequence in context: A111260 A067688 A097374 * A271936 A046358 A046366
KEYWORD
nonn
AUTHOR
Natan Arie Consigli, May 07 2015
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 12 10:55 EDT 2024. Contains 373331 sequences. (Running on oeis4.)