A144619 - OEIS

%I #22 Sep 08 2022 08:45:38

%S 8,27,46,65,84,103,122,141,160,179,198,217,236,255,274,293,312,331,

%T 350,369,388,407,426,445,464,483,502,521,540,559,578,597,616,635,654,

%U 673,692,711,730,749,768,787,806,825,844,863,882,901,920,939,958,977,996

%N a(n) = 19n + 8.

%H Vincenzo Librandi, <a href="/A144619/b144619.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F G.f.: (11*x+8)/(1-x)^2. - _Vincenzo Librandi_, May 14 2012

%F a(n) = 2*a(n-1) - a(n-2). - _Vincenzo Librandi_, May 14 2012

%t Range[8, 1500, 19] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)

%t CoefficientList[Series[(8+11*x)/(x-1)^2,{x,0,60}],x] (* _Vincenzo Librandi_, May 14 2012 *)

%t LinearRecurrence[{2,-1},{8,27},60] (* _Harvey P. Dale_, Jun 17 2020 *)

%o (Magma) I:=[8, 27]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..60]]; // _Vincenzo Librandi_, May 14 2012

%Y Cf. A008601, A141873, A144620.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Jan 15 2009

%E Offset corrected by _Jon E. Schoenfield_, Jun 17 2010