This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A257769 Perfect hyper-5 powers: a^^^b, where b <> 1. 1
 0, 1, 4, 65536, 7625597484987 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a^^b (a to the hyper-4 power b) is the right associative power tower a^a^...^a^a of height b. a^^^b (a to the hyper-5 power b) is the right associative hyper-4 power tower a^^a^^...^^a^^a of height b. a^^^-1 = 0, a^^^0 = 1; We exclude b=1 because otherwise all natural numbers would be in the sequence. LINKS EXAMPLE Numbers satisfying the properties stated above: 3^^^2 = 3^^3 = 3^3^3 = 3^27 = 7625597484987; 2^^^3 = 2^^2^^2 = 2^^4 = 2^2^2^2 = 2^2^4 = 2^16 = 65536; 1^^^4 = 1^^1^^1^^1 = 1. CROSSREFS Cf. A001597, A257309. Sequence in context: A074318 A276718 A102200 * A066544 A009529 A273231 Adjacent sequences:  A257766 A257767 A257768 * A257770 A257771 A257772 KEYWORD nonn,bref 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 20 12:43 EDT 2019. Contains 327238 sequences. (Running on oeis4.)