A155639 a(n) = 6^n-5^n+1^n.

1, 2, 12, 92, 672, 4652, 31032, 201812, 1288992, 8124572, 50700552, 313968932, 1932641712, 11839990892, 72260648472, 439667406452, 2668522016832, 16163719991612, 97745259402792, 590286253682372, 3560791008422352

Offset: 0

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-41,30).

Crossrefs

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638.

Programs

Magma

[6^n - 5^n + 1 : n in [0..20]]; // Wesley Ivan Hurt, Nov 20 2014

Maple

A155639:=n->6^n - 5^n + 1: seq(A155639(n), n=0..20); # Wesley Ivan Hurt, Nov 20 2014

Mathematica

Table[6^n - 5^n + 1, {n, 0, 20}] (* Wesley Ivan Hurt, Nov 20 2014 *)
LinearRecurrence[{12,-41,30},{1,2,12},30] (* Harvey P. Dale, Aug 23 2016 *)

PARI

a(n)=6^n-5^n+1 \\ Charles R Greathouse IV, Sep 24 2015

Formula

G.f.: 1/(1-6*x)-1/(1-5*x)+1/(1-x).

E.g.f.: e^(6*x)-e^(5*x)+e^x.

a(n) = 11*a(n-1)-30*a(n-2)+20 with a(0)=1, a(1)=2. - Vincenzo Librandi, Jul 21 2010