A139743 a(n) = 11^n - 5^n.
0, 6, 96, 1206, 14016, 157926, 1755936, 19409046, 213968256, 2355994566, 25927658976, 285262842486, 3138184236096, 34521491440806, 379743730067616, 4177217651837526, 45949577275681536, 505446265559840646, 5559913498794965856, 61159071374928218166, 672749899565128368576
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
- Index entries for linear recurrences with constant coefficients, signature (16,-55).
Programs
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Magma
[11^n-5^n: n in [0..30]]; // Vincenzo Librandi, Jun 02 2011
Formula
a(n) = 16*a(n-1) - 55*a(n-2). - Vincenzo Librandi, Jun 02 2011
a(n) = 6*A016165(n-1) for n >= 1. - Philippe Deléham, Mar 23 2023
From Elmo R. Oliveira, Apr 01 2025: (Start)
G.f.: 6*x/((1-5*x)*(1-11*x)).
E.g.f.: 2*exp(8*x)*sinh(3*x). (End)