|
%I #14 Jun 12 2015 15:26:54
%S 1,7,97,1207,14017,157927,1755937,19409047,213968257,2355994567,
%T 25927658977,285262842487,3138184236097,34521491440807,
%U 379743730067617,4177217651837527,45949577275681537,505446265559840647
%N 11^n-5^n+1.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (17,-71,55).
%F G.f.: 1/(1-11*x)-1/(1-5*x)+1/(1-x). E.g.f.: e^(11*x)-e^(5*x)+e^x.
%F a(n)=16*a(n-1)-55*a(n-2)+40 with a(0)=1, a(1)=7 - _Vincenzo Librandi_, Jul 21 2010
%F a(0)=1, a(1)=7, a(2)=97, a(n)=17*a(n-1)-71*a(n-2)+55*a(n-3) [From Harvey P. Dale, Jul 11 2011]
%t Table[11^n-5^n+1,{n,0,20}] (* or *) LinearRecurrence[{17, -71, 55}, {1, 7, 97}, 20] (* _Harvey P. Dale_, Jul 11 2011 *)
%o (PARI) a(n)=11^n-5^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015
%Y Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 30 2009
|
