A070616 a(n) = n^5 mod 33.

0, 1, 32, 12, 1, 23, 21, 10, 32, 12, 10, 11, 12, 10, 23, 12, 1, 32, 21, 10, 23, 21, 22, 23, 21, 1, 23, 12, 10, 32, 21, 1, 32, 0, 1, 32, 12, 1, 23, 21, 10, 32, 12, 10, 11, 12, 10, 23, 12, 1, 32, 21, 10, 23, 21, 22, 23, 21, 1, 23, 12, 10, 32, 21, 1, 32, 0, 1, 32, 12, 1, 23, 21, 10

Offset: 0

Author

N. J. A. Sloane, May 13 2002

Keywords

• nonn
• easy

Links

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

Programs

Mathematica

PowerMod[Range[0,120],5,33] (* Harvey P. Dale, Mar 20 2011 *)

PARI

a(n)=n^5%33 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,5,33)for n in range(0, 74)] # Zerinvary Lajos, Nov 04 2009

Formula

a(n) = a(n-33). - Wesley Ivan Hurt, Dec 26 2023