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 A162671 Generalized Fibonacci numbers 1
 1, 1, 101, 102, 10301, 10403, 1050601, 1061004, 107151001, 108212005, 10928351501, 11036563506, 1114584702101, 1125621265607, 113676711262801, 114802332528408, 11593909964103601, 11708712296632009 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..18. Index entries for linear recurrences with constant coefficients, signature (0,102,0,-1). FORMULA For n even a(n) = a(n-1) + a(n-2), for n odd a(n) = 100*a(n-1)+ a(n-2); with a(0) = 0, a(1) = 1 a(n)=102*a(n-2)-a(n-4). G.f.: -x*(-1-x+x^2)/((x^2+10*x-1)*(x^2-10*x-1)). [From R. J. Mathar, Jul 14 2009] MATHEMATICA LinearRecurrence[{0, 102, 0, -1}, {1, 1, 101, 102}, 20] (* Harvey P. Dale, May 08 2020 *) CROSSREFS Partly same as A041059 (and its palindromic partner-sequence A015446). A007318. Sequence in context: A261021 A271642 A164849 * A230094 A030474 A162199 Adjacent sequences: A162668 A162669 A162670 * A162672 A162673 A162674 KEYWORD nonn AUTHOR Mark Dols, Jul 10 2009 EXTENSIONS More terms from R. J. Mathar, Jul 14 2009 STATUS approved

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Last modified April 18 16:22 EDT 2024. Contains 371780 sequences. (Running on oeis4.)