A173737 - OEIS

%I #18 Sep 08 2022 08:45:50

%S 6,16,116,1116,11116,111116,1111116,11111116,111111116,1111111116,

%T 11111111116,111111111116,1111111111116,11111111111116,

%U 111111111111116,1111111111111116,11111111111111116,111111111111111116

%N (10^n+44)/9 for n>0.

%H Vincenzo Librandi, <a href="/A173737/b173737.txt">Table of n, a(n) for n = 1..100</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).

%F a(n) = a(n-1)+10^(n-1) = 10*a(n-1)-44 with n>0, a(0)=5.

%F G.f.: x*(6-50*x)/((1-x)*(1-10*x)). - _Vincenzo Librandi_, Jul 05 2012

%F a(n) = 11*a(n-1) -10*a(n-2) with a(0)=5, a(1)=6. - _Vincenzo Librandi_, Jul 05 2012

%F a(n) = (A002279(n-1)+3)*2. - _Martin Ettl_, Nov 08 2012

%t CoefficientList[Series[(6-50*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* _Vincenzo Librandi_, Jul 05 2012 *)

%o (Magma) [(10^n+44)/9: n in [1..20]]; // _Vincenzo Librandi_, Jul 05 2012

%o (Maxima) A173737(n):=(10^n+44)/9$ makelist(A173737(n),n,1,20); /* _Martin Ettl_, Nov 08 2012 */

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Feb 23 2010