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

0,3

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).

Formula

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

Mathematica

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

Prog

(Sage) [power_mod(n, 3, 33) for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 33): n in [0..100]]; // Vincenzo Librandi, Mar 31 2016
(PARI) a(n)=n^3%33 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070496 A304636 A115169 * A270421 A056729 A070265

Adjacent sequences: A070492 A070493 A070494 * A070496 A070497 A070498

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved