A086941 a(n) = k where R(k+6) = 3.
24, 294, 2994, 29994, 299994, 2999994, 29999994, 299999994, 2999999994, 29999999994, 299999999994, 2999999999994, 29999999999994, 299999999999994, 2999999999999994, 29999999999999994, 299999999999999994, 2999999999999999994, 29999999999999999994, 299999999999999999994
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).
Programs
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Magma
[3*(10^n-2): n in [1..20]]; // Vincenzo Librandi, Aug 22 2011
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Mathematica
3(10^Range[20]-2) (* or *) 10*Table[FromDigits[PadRight[{2},n,9]],{n,20}]+4 (* Harvey P. Dale, Jul 25 2023 *)
Formula
a(n) = 3*(10^n - 2).
R(a(n)) = A086944(n).
From Elmo R. Oliveira, Apr 30 2025: (Start)
G.f.: 6*x*(5*x+4)/((x-1)*(10*x-1)).
E.g.f.: 3*(1 - 2*exp(x) + exp(10*x)).
a(n) = 3*A099150(n).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)