A070499 a(n) = n^3 mod 37.

0, 1, 8, 27, 27, 14, 31, 10, 31, 26, 1, 36, 26, 14, 6, 8, 26, 29, 23, 14, 8, 11, 29, 31, 23, 11, 1, 36, 11, 6, 27, 6, 23, 10, 10, 29, 36, 0, 1, 8, 27, 27, 14, 31, 10, 31, 26, 1, 36, 26, 14, 6, 8, 26, 29, 23, 14, 8, 11, 29, 31, 23, 11, 1, 36, 11, 6, 27, 6, 23, 10, 10, 29, 36, 0, 1

Offset

0,3

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, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-37). - G. C. Greubel, Mar 30 2016

Mathematica

PowerMod[Range[0, 80], 3, 37] (* Harvey P. Dale, May 21 2014 *)
Table[Mod[n^3, 37], {n, 0, 100}] (* Vincenzo Librandi, Jun 19 2014 *)

Prog

(Sage) [power_mod(n, 3, 37 )for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009
(Magma) [n^3 mod 37: n in [0..80]]; // Vincenzo Librandi, Jun 19 2014
(PARI) a(n)=n^3%37 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A008960.

Sequence in context: A070501 A070500 A100499 * A077107 A335018 A070498

Adjacent sequences: A070496 A070497 A070498 * A070500 A070501 A070502

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved