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A070376
a(n) = 5^n mod 26.
1
1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21, 1, 5, 25, 21
OFFSET
0,2
FORMULA
From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3).
G.f.: ( -1-4*x-21*x^2 ) / ( (x-1)*(1+x^2) ). (End)
a(n) = 13 - 2*((3+2*i)*(-i)^n + (3-2*i)*i^n), where i = sqrt(-1). - Bruno Berselli, Feb 07 2011
From G. C. Greubel, Mar 13 2016: (Start)
a(n) = a(n-4).
E.g.f.: 13*exp(x) - 12*cos(x) - 8*sin(x). (End)
MAPLE
A070376:=n->5^n mod 26: seq(A070376(n), n=0..100); # Wesley Ivan Hurt, Mar 13 2016
MATHEMATICA
PowerMod[5, Range[0, 50], 26] (* G. C. Greubel, Mar 13 2016 *)
PROG
(Sage) [power_mod(5, n, 26) for n in range(0, 84)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n)=lift(Mod(5, 26)^n) \\ Charles R Greathouse IV, Mar 22 2016
CROSSREFS
Sequence in context: A070377 A070383 A070061 * A036139 A070382 A271379
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved