A070481 a(n) = n^3 mod 19.

0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18, 7, 12, 1, 18, 12, 8, 12, 11, 11, 18, 0, 1, 8, 8, 7, 11, 7, 1, 18

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, 1).

Crossrefs

Cf. A008960.

Programs

Magma

[Modexp(n,3,19): n in [0..100]]; // Vincenzo Librandi, Mar 28 2016

Mathematica

Table[Mod[n^3, 19], {n, 0, 100}] (* Vincenzo Librandi, Jun 19 2014 *)
PowerMod[Range[0,90],3,19] (* Harvey P. Dale, Feb 25 2015 *)

PARI

a(n)=n^3%19 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,3,19 )for n in range(0, 85)] # Zerinvary Lajos, Oct 29 2009

Formula

From G. C. Greubel, Mar 28 2016: (Start)

a(n) = a(n-19).

G.f.: (-x -8*x^2 -8*x^3 -7*x^4 -11*x^5 -7*x^6 -x^7 -18*x^8 -7*x^9 - 12*x^10 -x^11 -18*x^12 -12*x^13 -8*x^14 -12*x^15 -11*x^16 -11*x^17 - 18*x^18)/(-1 + x^19). (End)