login
A070481
a(n) = n^3 mod 19.
1
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
0,3
LINKS
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).
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)
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 *)
PROG
(Sage) [power_mod(n, 3, 19 )for n in range(0, 85)] # Zerinvary Lajos, Oct 29 2009
(Magma) [Modexp(n, 3, 19): n in [0..100]]; // Vincenzo Librandi, Mar 28 2016
(PARI) a(n)=n^3%19 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Cf. A008960.
Sequence in context: A350715 A294795 A173623 * A011109 A248622 A023411
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved