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A162671 Generalized Fibonacci numbers 1

%I #5 May 08 2020 14:31:58

%S 1,1,101,102,10301,10403,1050601,1061004,107151001,108212005,

%T 10928351501,11036563506,1114584702101,1125621265607,113676711262801,

%U 114802332528408,11593909964103601,11708712296632009

%N Generalized Fibonacci numbers

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,102,0,-1).

%F 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

%F 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]

%t LinearRecurrence[{0,102,0,-1},{1,1,101,102},20] (* _Harvey P. Dale_, May 08 2020 *)

%Y Partly same as A041059 (and its palindromic partner-sequence A015446). A007318.

%K nonn

%O 1,3

%A _Mark Dols_, Jul 10 2009

%E More terms from _R. J. Mathar_, Jul 14 2009

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Last modified August 9 23:31 EDT 2024. Contains 375044 sequences. (Running on oeis4.)