A070596 n^5 mod 11.

0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10, 0, 1, 10, 1, 1, 1, 10, 10

Offset: 0

Author

N. J. A. Sloane, May 13 2002

Keywords

• nonn
• easy

Comments

Periodic, with period = 11 (0, 1, 10, 1, 1, 1, 10, 10, 10, 1, 10). - Harvey P. Dale, Jan 01 2017

Links

• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Programs

Mathematica

PowerMod[Range[0,90],5,11] (* or *) PadRight[{},100,{0,1,10,1,1,1,10,10,10,1,10}] (* Harvey P. Dale, Jan 01 2017 *)

PARI

a(n)=n^5%11 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,5,11)for n in range(0, 85)] # - Zerinvary Lajos, Jun 08 2009