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

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A008960.

Programs

Magma

[n^3 mod 37: n in [0..80]]; // Vincenzo Librandi, Jun 19 2014

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 *)

PARI

a(n)=n^3%37 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,3,37 )for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009

Formula

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