A155644 a(n) = 11^n-5^n+1.

1, 7, 97, 1207, 14017, 157927, 1755937, 19409047, 213968257, 2355994567, 25927658977, 285262842487, 3138184236097, 34521491440807, 379743730067617, 4177217651837527, 45949577275681537, 505446265559840647

Offset: 0

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

• nonn
• easy
• changed

Links

• Index entries for linear recurrences with constant coefficients, signature (17,-71,55).

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643.

Programs

Mathematica

Table[11^n-5^n+1,{n,0,20}] (* or *) LinearRecurrence[{17, -71, 55}, {1, 7, 97}, 20] (* Harvey P. Dale, Jul 11 2011 *)

PARI

a(n)=11^n-5^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-11*x)-1/(1-5*x)+1/(1-x).

E.g.f.: e^(11*x)-e^(5*x)+e^x.

a(n) = 16*a(n-1)-55*a(n-2)+40 with a(0)=1, a(1)=7. - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=7, a(2)=97, a(n) = 17*a(n-1)-71*a(n-2)+55*a(n-3). - Harvey P. Dale, Jul 11 2011