OFFSET
0,2
COMMENTS
The sequence has a cycle of length 10, which is the maximum possible length for a sequence of powers mod 33. - Alonso del Arte, Jan 12 2013
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).
FORMULA
MATHEMATICA
Table[Mod[2^n, 33], {n, 0, 79}] (* Alonso del Arte, Jan 12 2013 *)
PowerMod[2, Range[0, 50], 33] (* G. C. Greubel, Mar 13 2016 *)
LinearRecurrence[{1, 0, 0, 0, -1, 1}, {1, 2, 4, 8, 16, 32}, 90] (* Harvey P. Dale, Jun 26 2017 *)
PROG
(Sage) [power_mod(2, n, 33)for n in range(0, 74)] # Zerinvary Lajos, Nov 03 2009
(PARI) a(n)=lift(Mod(2, 33)^n) \\ Charles R Greathouse IV, Mar 22 2016
(GAP) List([0..83], n->PowerMod(2, n, 33)); # Muniru A Asiru, Jan 30 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved