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 (1,0,0,0,-1,1). - R. J. Mathar, Apr 20 2010
FORMULA
From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-1) - a(n-5) + a(n-6).
G.f.: ( -1 -6*x +2*x^2 -30*x^3 +10*x^4 -19*x^5 ) / ((x-1)*(1+x)(x^4-x^3+x^2-x+1) ). (End)
a(n) = a(n-10). - G. C. Greubel, Mar 22 2016
MATHEMATICA
PowerMod[7, Range[0, 80], 44] (* or *) PadLeft[{}, 80, {1, 7, 5, 35, 25, 43, 37, 39, 9, 19}] (* Harvey P. Dale, Oct 06 2011 *)
PROG
(Sage) [power_mod(7, n, 44) for n in range(0, 80)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n)=lift(Mod(7, 44)^n) \\ Charles R Greathouse IV, Mar 22 2016
(Magma) [Modexp(7, n, 44): n in [0..100]]; // Bruno Berselli, Mar 22 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved