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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
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
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.)