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 A070342 a(n) = 3^n mod 19. 4
 1, 3, 9, 8, 5, 15, 7, 2, 6, 18, 16, 10, 11, 14, 4, 12, 17, 13, 1, 3, 9, 8, 5, 15, 7, 2, 6, 18, 16, 10, 11, 14, 4, 12, 17, 13, 1, 3, 9, 8, 5, 15, 7, 2, 6, 18, 16, 10, 11, 14, 4, 12, 17, 13, 1, 3, 9, 8, 5, 15, 7, 2, 6, 18, 16, 10, 11, 14, 4, 12, 17, 13, 1, 3, 9 (list; graph; refs; listen; history; text; internal format)
 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, 0, 0, 0, 0, -1, 1). FORMULA From R. J. Mathar, Apr 13 2010: (Start) a(n)= a(n-1) - a(n-9) + a(n-10). G.f.: (1+2*x+6*x^2-x^3-3*x^4+10*x^5-8*x^6-5*x^7+4*x^8+13*x^9)/ ((1-x) * (1+x) * (x^2 -x+1) * (x^6-x^3+1)). (End) a(n) = a(n-18). - G. C. Greubel, Mar 12 2016 MATHEMATICA PowerMod[3, Range[0, 50], 19] (* G. C. Greubel, Mar 12 2016 *) PROG (Sage) [power_mod(3, n, 19)for n in range(0, 75)] # Zerinvary Lajos, Nov 25 2009 (PARI) a(n)=lift(Mod(3, 19)^n) \\ Charles R Greathouse IV, Mar 22 2016 CROSSREFS Sequence in context: A199052 A021255 A229350 * A125125 A021719 A200346 Adjacent sequences: A070339 A070340 A070341 * A070343 A070344 A070345 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, May 12 2002 STATUS approved

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Last modified March 24 04:28 EDT 2023. Contains 361454 sequences. (Running on oeis4.)