A199685 a(n) = 5*10^n + 1.
6, 51, 501, 5001, 50001, 500001, 5000001, 50000001, 500000001, 5000000001, 50000000001, 500000000001, 5000000000001, 50000000000001, 500000000000001, 5000000000000001, 50000000000000001, 500000000000000001, 5000000000000000001, 50000000000000000001, 500000000000000000001
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (11,-10).
Crossrefs
Cf. A126109.
Programs
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Magma
[5*10^n+1: n in [0..30]];
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Mathematica
LinearRecurrence[{11,-10},{6,51},30] (* Harvey P. Dale, Apr 06 2013 *) -
PARI
a(n)=5*10^n+1 \\ Charles R Greathouse IV, Oct 16 2015
Formula
a(n) = 3*A126109(n).
a(n) = 10*a(n-1) - 9.
a(n) = 11*a(n-1) - 10*a(n-2).
G.f.: 3*(2-5*x)/((1-x)*(1-10*x)).
E.g.f.: exp(x)*(5*exp(9*x) + 1). - Elmo R. Oliveira, Sep 15 2024