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

Author

Reinhard Zumkeller, Sep 20 2003

Keywords

• nonn
• base

Comments

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

Examples

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

Links

• Eric Weisstein's World of Mathematics, Ternary

Crossrefs

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

Formula

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