A139744 a(n) = 11^n - 6^n.

0, 5, 85, 1115, 13345, 153275, 1724905, 19207235, 212679265, 2347869995, 25876958425, 284948873555, 3136251594385, 34509651449915, 379671469419145, 4176777984431075, 45946908753664705, 505430101839849035, 5559815753535563065, 61158481088674535795

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (17,-66).

Formula

a(n) = 17*a(n-1) - 66*a(n-2). Vincenzo Librandi, Jun 02 2011

From Stefano Spezia, Dec 17 2022: (Start)

O.g.f.: 5*x/((1 - 6*x)*(1 - 11*x)).

E.g.f.: exp(6*x)*(exp(5*x) - 1). (End)

Mathematica

Table[11^n-6^n, {n, 0, 30}] (* or *) LinearRecurrence[{17, -66}, {0, 5}, 30] (* Harvey P. Dale, Jul 17 2019 *)

Prog

(Magma) [11^n-6^n: n in [0..30]]; // Vincenzo Librandi, Jun 02 2011

Crossrefs

Cf. A000400, A001020.

Sequence in context: A201797 A012743 A359234 * A195156 A188918 A349936

Adjacent sequences: A139741 A139742 A139743 * A139745 A139746 A139747

Keyword

nonn,easy

Author

N. J. A. Sloane, May 20 2008

Status

approved