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

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

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

Crossrefs

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

Programs

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 *)

PARI

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

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