A070656 a(n) = n^6 mod 33.

0, 1, 31, 3, 4, 16, 27, 4, 25, 9, 1, 22, 12, 31, 25, 15, 16, 16, 15, 25, 31, 12, 22, 1, 9, 25, 4, 27, 16, 4, 3, 31, 1, 0, 1, 31, 3, 4, 16, 27, 4, 25, 9, 1, 22, 12, 31, 25, 15, 16, 16, 15, 25, 31, 12, 22, 1, 9, 25, 4, 27, 16, 4, 3, 31, 1, 0, 1, 31, 3, 4, 16, 27, 4, 25, 9, 1, 22, 12, 31

Offset

0,3

Comments

Periodic with a period of 33. - Harvey P. Dale, Aug 09 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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).

Formula

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

Maple

A070656:=n->n^6 mod 33: seq(A070656(n), n=0..100); # Wesley Ivan Hurt, Aug 09 2014

Mathematica

PowerMod[Range[0, 80], 6, 33] (* Harvey P. Dale, Aug 09 2014 *)

Prog

(Sage) [power_mod(n, 6, 33)for n in range(0, 80)] # Zerinvary Lajos, Nov 07 2009
(Magma) [n^6 mod 33: n in [0..80]] // Vincenzo Librandi, Aug 09 2014
(PARI) a(n)=n^6%33 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A070455, A070495, A070576, A070616.

Sequence in context: A334057 A040947 A040948 * A040949 A050101 A107811

Adjacent sequences: A070653 A070654 A070655 * A070657 A070658 A070659

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved