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

0,4

Links

Table of n, a(n) for n=0..104.

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}.

Mathematica

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

Crossrefs

Cf. A053879, A070472, A007778.

Sequence in context: A228132 A146321 A133455 * A277744 A119953 A010645

Adjacent sequences: A122603 A122604 A122605 * A122607 A122608 A122609

Keyword

nonn

Author

Zak Seidov, Sep 24 2006, Sep 25 2006

Status

approved