A177079 a(n) = 5*(10^n - 3).
35, 485, 4985, 49985, 499985, 4999985, 49999985, 499999985, 4999999985, 49999999985, 499999999985, 4999999999985, 49999999999985, 499999999999985, 4999999999999985, 49999999999999985, 499999999999999985, 4999999999999999985, 49999999999999999985, 499999999999999999985
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..300
- Index entries for linear recurrences with constant coefficients, signature (11,-10).
Crossrefs
Cf. A173833.
Programs
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Magma
[5*(10^n-3): n in [1..35]];
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Mathematica
Table[5*(10^n-3),{n,20}]; (* Alonso del Arte, Nov 15 2010 *) LinearRecurrence[{11,-10},{35,485},20] (* Harvey P. Dale, Aug 20 2023 *)
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PARI
a(n)=5*10^n-15 \\ Charles R Greathouse IV, Jun 04 2011
Formula
From Elmo R. Oliveira, Jun 12 2025: (Start)
G.f.: 5*x*(20*x+7)/((x-1)*(10*x-1)).
E.g.f.: 5*(2 - 3*exp(x) + exp(10*x)).
a(n) = 5*A173833(n).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)