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.
%I A008596 #39 Apr 08 2025 16:36:49 %S A008596 0,14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252, %T A008596 266,280,294,308,322,336,350,364,378,392,406,420,434,448,462,476,490, %U A008596 504,518,532,546,560,574,588,602,616,630,644,658,672,686,700,714,728 %N A008596 Multiples of 14. %H A008596 Vincenzo Librandi, <a href="/A008596/b008596.txt">Table of n, a(n) for n = 0..1000</a> %H A008596 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>. %H A008596 INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=326">Encyclopedia of Combinatorial Structures 326</a>. %H A008596 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A008596 a(n) = A033571(n) - A158186(n). - _Reinhard Zumkeller_, Mar 13 2009 %F A008596 From _R. J. Mathar_, Jun 23 2009: (Start) %F A008596 a(n) = 14*n. %F A008596 a(n) = 2*a(n-1) - a(n-2). %F A008596 G.f.: 14*x/(x-1)^2. (End) %F A008596 From _Elmo R. Oliveira_, Apr 08 2025: (Start) %F A008596 E.g.f.: 14*x*exp(x). %F A008596 a(n) = 2*A008589(n) = A135628(n)/2. (End) %t A008596 Range[0, 1000, 14] (* _Vladimir Joseph Stephan Orlovsky_, May 31 2011 *) %t A008596 CoefficientList[Series[14 x / (x - 1)^2, {x, 0, 60}], x] (* _Vincenzo Librandi_, Jun 10 2013 *) %o A008596 (PARI) a(n)=14*n \\ _Charles R Greathouse IV_, Sep 28 2015 %Y A008596 Cf. A008589, A008594, A008595, A033571, A135628, A158186. %K A008596 nonn,easy %O A008596 0,2 %A A008596 _N. J. A. Sloane_