OFFSET
0,2
COMMENTS
Period 9: repeat [1, 5, 6, 11, 17, 9, 7, 16, 4].
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..999
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1). [R. J. Mathar, Apr 20 2010]
FORMULA
From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-9).
G.f.: ( -1-5*x-6*x^2-11*x^3-17*x^4-9*x^5-7*x^6-16*x^7-4*x^8 ) / ( (x-1)*(1+x+x^2)*(x^6+x^3+1) ). (End)
MATHEMATICA
PowerMod[5, Range[0, 100], 19] (* Harvey P. Dale, Aug 18 2015 *)
PadRight[{}, 100, {1, 5, 6, 11, 17, 9, 7, 16, 4}] (* Harvey P. Dale, Aug 18 2015 *)
PROG
(Sage) [power_mod(5, n, 19) for n in range(0, 89)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n) = lift(Mod(5, 19)^n); \\ Michel Marcus, Mar 05 2016
(Magma) [Modexp(5, n, 19): n in [0..100]]; // Vincenzo Librandi, Jun 29 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved