A199114 - OEIS

%I #17 Mar 20 2023 11:32:38

%S 12,34,100,298,892,2674,8020,24058,72172,216514,649540,1948618,

%T 5845852,17537554,52612660,157837978,473513932,1420541794,4261625380,

%U 12784876138,38354628412,115063885234,345191655700,1035574967098,3106724901292

%N a(n) = 11*3^n+1.

%H Vincenzo Librandi, <a href="/A199114/b199114.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3).

%F a(n) = 3*a(n-1)-2.

%F a(n) = 4*a(n-1)-3*a(n-2).

%F G.f.: 2*(6-7*x)/((1-x)*(1-3*x)). - _Bruno Berselli_, Nov 04 2011

%F a(n) = 2*A199113(n). - _R. J. Mathar_, Nov 01 2015

%o (Magma) [11*3^n+1: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 04 2011