OFFSET
0,2
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, 1).
FORMULA
From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-12).
G.f.: ( -1 -7*x -4*x^2 -28*x^3 -16*x^4 -22*x^5 -19*x^6 -43*x^7 -31*x^8 -37*x^9 -34*x^10 -13*x^11 ) / ( (x-1)*(1+x+x^2)*(1+x)*(1-x+x^2)*(1+x^2)*(x^4-x^2+1) ). (End)
MATHEMATICA
PowerMod[7, Range[0, 80], 45] (* or *) PadRight[{}, 80, {1, 7, 4, 28, 16, 22, 19, 43, 31, 37, 34, 13}] (* Harvey P. Dale, Jan 11 2014 *)
PROG
(Sage) [power_mod(7, n, 45) for n in range(0, 76)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n)=lift(Mod(7, 45)^n) \\ Charles R Greathouse IV, Mar 22 2016
(Magma) [Modexp(7, n, 45): n in [0..100]]; // Bruno Berselli, Mar 22 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved