A122606 n^(n+1) mod 7.

0, 1, 1, 4, 2, 1, 6, 0, 1, 2, 5, 1, 5, 1, 0, 1, 4, 1, 4, 4, 6, 0, 1, 1, 3, 2, 6, 1, 0, 1, 2, 2, 1, 2, 6, 0, 1, 4, 6, 4, 3, 1, 0, 1, 1, 4, 2, 1, 6, 0, 1, 2, 5, 1, 5, 1, 0, 1, 4, 1, 4, 4, 6, 0, 1, 1, 3, 2, 6, 1, 0, 1, 2, 2, 1, 2, 6, 0, 1, 4, 6, 4, 3, 1, 0, 1, 1, 4, 2, 1, 6, 0, 1, 2, 5, 1, 5, 1, 0, 1, 4, 1, 4, 4, 6

Offset: 0

Author

Zak Seidov, Sep 24 2006, Sep 25 2006

Keywords

• nonn

Crossrefs

Cf. A053879, A070472, A007778.

Programs

Mathematica

Table[PowerMod[n,n+1,7],{n,0,120}] (* Harvey P. Dale, May 24 2012 *)

Formula

a(n) = n^(n+1) mod 7 = A007778(n) mod 7.

Periodic with cycle consisting of first 42 terms: {0,1,1,4,2,1,6,0,1,2,5,1,5,1,0,1,4,1,4,4,6,0,1,1,3,2,6,1,0,1,2,2,1,2,6,0,1,4,6,4,3,1}.