A117280 - OEIS

A117280

a(n) = n^r(n), where r(n) is the digital root of n.

1, 1, 4, 27, 256, 3125, 46656, 823543, 16777216, 387420489, 10, 121, 1728, 28561, 537824, 11390625, 268435456, 6975757441, 198359290368, 19, 400, 9261, 234256, 6436343, 191102976, 6103515625, 208827064576, 7625597484987, 28, 841, 27000, 923521, 33554432

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..32.

FORMULA

a(n) = n^r(n).

for n>0, a(n) = n^(((n-1) mod 9)+1).

EXAMPLE

a(13)=13^r(13)=13^4=28561.

MAPLE

[1, seq(n^(((n-1) mod 9)+1), n=1..30)]; # Georg Fischer, Sep 11 2024