A198849 a(n) = (11*6^n - 1)/5.
2, 13, 79, 475, 2851, 17107, 102643, 615859, 3695155, 22170931, 133025587, 798153523, 4788921139, 28733526835, 172401161011, 1034406966067, 6206441796403, 37238650778419, 223431904670515, 1340591428023091, 8043548568138547
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (7,-6).
Programs
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Magma
[(11*6^n-1)/5: n in [0..30]];
Formula
a(n) = 6*a(n-1) + 1.
a(n) = 7*a(n-1) - 6*a(n-2), n > 1.
G.f.: (2-x)/((6*x-1)*(x-1)). - R. J. Mathar, Oct 31 2011
E.g.f.: exp(x)*(11*exp(5*x) - 1)/5. - Elmo R. Oliveira, Aug 14 2024