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 A048271 a(0) = 1, a(n+1) = -3*a(n) mod 11. 2
 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7, 1, 8, 9, 6, 4, 10, 3, 2, 5, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS R. M. C. de Souza, H. M. de Oliveira and A. N. Kauffman, Trigonometry in Finite Fields and a new Hartley Transform, in Proceedings of the 1998 IEEE International Symposium on Information Theory. Cambridge: IEEE Press, 1998, page 293. Joshua Ide and Marc S. Renault, Power Fibonacci Sequences, Fib. Q. 50(2), 2012, 175-179. Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,-1,1). [R. J. Mathar, Apr 20 2010] FORMULA a(n) = 8^n mod 11. - Zerinvary Lajos, Nov 28 2009 a(n) = (1/90)*(65*(n mod 10) - 7*((n+1) mod 10) - 16*((n+2) mod 10) + 20*((n+3) mod 10) + 74*((n+4) mod 10) - 43*((n+5) mod 10) + 29*((n+6) mod 10) + 38*((n+7) mod 10) + 2*((n+8) mod 10) - 52*((n+9) mod 10)), with n >= 0. - Paolo P. Lava, Apr 16 2010 From R. J. Mathar, Apr 20 2010: (Start) a(n) = a(n-1) - a(n-5) + a(n-6). G.f.: (-1-7*x-x^2+3*x^3+2*x^4-7*x^5) / ( (x-1)*(1+x)*(x^4-x^3+x^2-x+1) ). (End) MATHEMATICA NestList[Mod[-3#, 11]&, 1, 120] (* Harvey P. Dale, Jun 15 2021 *) PROG (Sage) [power_mod(8, n, 11)for n in range(0, 120)] # Zerinvary Lajos, Nov 28 2009 CROSSREFS Sequence in context: A342948 A258104 A253299 * A203146 A203128 A178856 Adjacent sequences:  A048268 A048269 A048270 * A048272 A048273 A048274 KEYWORD easy,nonn AUTHOR Andre Neumann Kauffman (ank(AT)nlink.com.br) STATUS approved

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Last modified September 26 15:53 EDT 2021. Contains 347668 sequences. (Running on oeis4.)