A082724 a(n) = (3*11^n + 3^n)/4.
1, 9, 93, 1005, 11001, 120849, 1328853, 14615925, 160770801, 1768465689, 19453083213, 213983797245, 2353821415401, 25892034506529, 284812376383173, 3132936130648965, 34462297408440801, 379085271406755369
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
- Index entries for linear recurrences with constant coefficients, signature (14,-33).
Programs
-
Magma
[(3*11^n+3^n)/4: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011
-
Mathematica
Table[(3*11^n+3^n)/4,{n,0,20}] (* or *) LinearRecurrence[{14,-33},{1,9},20] (* Harvey P. Dale, Apr 09 2023 *)
Formula
a(n) = (3*11^n + 3^n)/4.
G.f.: (1-5*x)/((1-11*x)*(1-3*x)).
E.g.f.: (3*exp(11*x) + exp(3*x))/4.
Comments