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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

Table of n, a(n) for n=1..5.

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

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