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A155639
a(n) = 6^n-5^n+1^n.
21
1, 2, 12, 92, 672, 4652, 31032, 201812, 1288992, 8124572, 50700552, 313968932, 1932641712, 11839990892, 72260648472, 439667406452, 2668522016832, 16163719991612, 97745259402792, 590286253682372, 3560791008422352
OFFSET
0,2
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
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 *)
PROG
(Magma) [6^n - 5^n + 1 : n in [0..20]]; // Wesley Ivan Hurt, Nov 20 2014
(PARI) a(n)=6^n-5^n+1 \\ Charles R Greathouse IV, Sep 24 2015
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 30 2009
STATUS
approved