A061505 - OEIS

A061505

Leading digit of n^n.

1, 1, 4, 2, 2, 3, 4, 8, 1, 3, 1, 2, 8, 3, 1, 4, 1, 8, 3, 1, 1, 5, 3, 2, 1, 8, 6, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 5, 6, 8, 1, 1, 2, 3, 5, 7, 1, 1, 3, 4, 8, 1, 2, 3, 6, 1, 2, 4, 7, 1, 2, 5, 1, 2, 4, 8, 1, 3, 8, 1, 3, 8, 1, 4, 1, 2, 5, 1, 3, 7, 1, 4, 1, 2, 7, 1, 5, 1, 3, 1, 2, 7, 2, 5, 1

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

OFFSET

0,3

COMMENTS

The sequence equals 2 in the range n = 3628..3730. - Rémy Sigrist, Dec 13 2018

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10000

FORMULA

Using the formula in A000030: a(n) = [n^n / 10^([log_10(n^n)])] = [n^n / 10^([n*log_10(n)])].

EXAMPLE

a(7) = 8, as 7^7 = 823543.

MATHEMATICA