A070630 a(n) = n^5 mod 47.

0, 1, 32, 8, 37, 23, 21, 28, 9, 17, 31, 29, 14, 40, 3, 43, 6, 34, 27, 45, 5, 36, 35, 22, 25, 12, 11, 42, 2, 20, 13, 41, 4, 44, 7, 33, 18, 16, 30, 38, 19, 26, 24, 10, 39, 15, 46, 0, 1, 32, 8, 37, 23, 21, 28, 9, 17, 31, 29, 14, 40, 3, 43, 6, 34, 27, 45, 5, 36, 35, 22, 25, 12, 11, 42

Offset

0,3

Comments

Periodic with period = 47. - Harvey P. Dale, Aug 16 2018

Links

Harvey P. Dale, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-47). - Wesley Ivan Hurt, Dec 26 2023

Mathematica

PowerMod[Range[0, 100], 5, 47] (* Harvey P. Dale, Aug 16 2018 *)

Prog

(Sage) [power_mod(n, 5, 47)for n in range(0, 75)] # Zerinvary Lajos, Nov 05 2009
(PARI) a(n)=n^5%47 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A113506 A120315 A119362 * A193354 A070622 A213656

Adjacent sequences: A070627 A070628 A070629 * A070631 A070632 A070633

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved