cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A144619 a(n) = 19*n + 8.

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%I A144619 #25 Apr 04 2025 11:57:05
%S A144619 8,27,46,65,84,103,122,141,160,179,198,217,236,255,274,293,312,331,
%T A144619 350,369,388,407,426,445,464,483,502,521,540,559,578,597,616,635,654,
%U A144619 673,692,711,730,749,768,787,806,825,844,863,882,901,920,939,958,977,996
%N A144619 a(n) = 19*n + 8.
%H A144619 Vincenzo Librandi, <a href="/A144619/b144619.txt">Table of n, a(n) for n = 0..2000</a>
%H A144619 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A144619 From _Vincenzo Librandi_, May 14 2012: (Start)
%F A144619 G.f.: (11*x+8)/(1-x)^2.
%F A144619 a(n) = 2*a(n-1) - a(n-2). (End)
%F A144619 E.g.f.: exp(x)*(8 + 19*x). - _Elmo R. Oliveira_, Apr 04 2025
%t A144619 Range[8, 1500, 19] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)
%t A144619 CoefficientList[Series[(8+11*x)/(x-1)^2,{x,0,60}],x] (* _Vincenzo Librandi_, May 14 2012 *)
%t A144619 LinearRecurrence[{2,-1},{8,27},60] (* _Harvey P. Dale_, Jun 17 2020 *)
%o A144619 (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 A144619 Cf. A008601, A141873, A144620.
%K A144619 nonn,easy
%O A144619 0,1
%A A144619 _Vincenzo Librandi_, Jan 15 2009
%E A144619 Offset corrected by _Jon E. Schoenfield_, Jun 17 2010