A070495 a(n) = n^3 mod 33.

0, 1, 8, 27, 31, 26, 18, 13, 17, 3, 10, 11, 12, 19, 5, 9, 4, 29, 24, 28, 14, 21, 22, 23, 30, 16, 20, 15, 7, 2, 6, 25, 32, 0, 1, 8, 27, 31, 26, 18, 13, 17, 3, 10, 11, 12, 19, 5, 9, 4, 29, 24, 28, 14, 21, 22, 23, 30, 16, 20, 15, 7, 2, 6, 25, 32, 0, 1, 8, 27, 31, 26, 18, 13, 17, 3

Offset: 0

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

Comments

Equivalently: n^(10*m + 3) mod 33. - G. C. Greubel, Mar 30 2016

Links

• G. C. Greubel, 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).

Programs

Magma

[Modexp(n, 3, 33): n in [0..100]]; // Vincenzo Librandi, Mar 31 2016

Mathematica

PowerMod[Range[0, 100], 3, 33] (* G. C. Greubel, Mar 30 2016 *)

PARI

a(n)=n^3%33 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,3,33) for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009

Formula

a(n) = a(n-33). - G. C. Greubel, Mar 30 2016