



1, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3, 9, 12, 6, 3
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OFFSET

0,2


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1, 1, 1).


FORMULA

From R. J. Mathar, Apr 13 2010: (Start)
a(n) = a(n1) a(n2) +a(n3), n>3.
G.f.: (1 + 2*x + 7*x^2 + 5*x^3)/((1x)*(1+x^2)). (End)


MATHEMATICA

Table[Mod[3^n, 15], {n, 0, 50}] (* G. C. Greubel, Jul 21 2016 *)


PROG

(Sage) [power_mod(3, n, 15) for n in range(0, 90)]
(PARI) a(n)=lift(Mod(3, 15)^n) \\ Charles R Greathouse IV, Mar 22 2016
(MAGMA) [Modexp(3, n, 15): n in [0..110]]; // Vincenzo Librandi, Jul 21 2016


CROSSREFS

Sequence in context: A069871 A061957 A136984 * A310318 A310319 A073105
Adjacent sequences: A168397 A168398 A168399 * A168401 A168402 A168403


KEYWORD

nonn,easy


AUTHOR

Zerinvary Lajos, Nov 25 2009


STATUS

approved



