A324220 Number of digits in n^(n^(n^n)).

1, 1, 1, 5, 3638334640025

Offset

-1,4

Comments

Exponentiation is a right-associative operation: the power tower could be also written as n^n^n^n.

Here we set 0^0=1 by convention.

Links

Natan Arie' Consigli, Table of n, a(n) for n = -1..4

Example

-1^-1^-1^-1 = -1 has one digit so a(-1)=1.
2^2^2^2 = 65536 has 5 digits so a(2)=5.

Crossrefs

Cf. A244059 (initial digit), A054382 (number of digits in n^n^n).

Sequence in context: A094467 A242828 A177164 * A273941 A067483 A186685

Adjacent sequences: A324217 A324218 A324219 * A324221 A324222 A324223

Keyword

nonn,base

Author

Natan Arie Consigli, Feb 18 2019

Status

approved