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

0,2

Comments

Binomial transform of A083234.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (14,-33).

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.

Mathematica

Table[(3*11^n+3^n)/4, {n, 0, 20}] (* or *) LinearRecurrence[{14, -33}, {1, 9}, 20] (* Harvey P. Dale, Apr 09 2023 *)

Prog

(Magma)[(3*11^n+3^n)/4: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

Crossrefs

Sequence in context: A297580 A306475 A181958 * A061635 A261688 A246212

Adjacent sequences: A082721 A082722 A082723 * A082725 A082726 A082727

Keyword

easy,nonn

Author

Paul Barry, Apr 23 2003

Status

approved