A155668 11^n-8^n+1.

1, 4, 58, 820, 10546, 128284, 1509418, 17390020, 197581666, 2223729964, 24863682778, 276721736020, 3069708899986, 33972956330044, 375351787072138, 4142063797326820, 45668254886861506, 503195228685608524

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (20,-107,88).

Formula

G.f.: 1/(1-11*x)-1/(1-8*x)+1/(1-x). E.g.f.: e^(11*x)-e^(8*x)+e^x.

a(n)=19*a(n-1)-88*a(n-2)+70 with a(0)=1, a(1)=4 - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[11^n-8^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{20, -107, 88}, {1, 4, 58}, 20] (* Harvey P. Dale, Jan 12 2019 *)

Prog

(PARI) a(n)=11^n-8^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666, A155667.

Sequence in context: A108148 A099348 A197177 * A240430 A334991 A216795

Adjacent sequences: A155665 A155666 A155667 * A155669 A155670 A155671

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Status

approved