A088151 Value of n-th digit in ternary representation of n^n.

1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1

Offset

0,14

Comments

a(n)=d(n) with n^n = Sum(d(k)*3^k: 0<=d(k)<3, k>=0).

Links

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Ternary

Formula

a(n) = floor(n^n / 3^n) mod 3.

Example

n=7, 7^7=3110367 -> '1112211200121', '111221-------': a(7)=1.

Crossrefs

Cf. A007089, A000312, A088150, A088152, A088153, A088154, A088155, A088156, A088157.

Sequence in context: A082469 A206566 A376596 * A286129 A230322 A174950

Adjacent sequences: A088148 A088149 A088150 * A088152 A088153 A088154

Keyword

nonn,base

Author

Reinhard Zumkeller, Sep 20 2003

Status

approved