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 A017029 #36 Apr 12 2025 10:18:27 %S A017029 4,11,18,25,32,39,46,53,60,67,74,81,88,95,102,109,116,123,130,137,144, %T A017029 151,158,165,172,179,186,193,200,207,214,221,228,235,242,249,256,263, %U A017029 270,277,284,291,298,305,312,319,326,333,340,347,354,361,368,375,382 %N A017029 a(n) = 7*n + 4. %H A017029 Vincenzo Librandi, <a href="/A017029/b017029.txt">Table of n, a(n) for n = 0..5000</a> %H A017029 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>. %H A017029 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A017029 G.f.: (3*x + 4)/(1-x)^2. - _Vincenzo Librandi_, Jan 27 2013 %F A017029 From _Elmo R. Oliveira_, Apr 12 2025: (Start) %F A017029 E.g.f.: exp(x)*(4 + 7*x). %F A017029 a(n) = 2*a(n-1) - a(n-2). (End) %t A017029 Range[4,1000,7] (* _Vladimir Joseph Stephan Orlovsky_, Jun 25 2009 *) %t A017029 CoefficientList[Series[(3*x + 4)/(1 - x)^2, {x, 0, 60}], x] (* _Vincenzo Librandi_, Jan 27 2013 *) %t A017029 LinearRecurrence[{2,-1},{4,11},60] (* _Harvey P. Dale_, Mar 27 2025 *) %o A017029 (Magma) [7*n + 4: n in [0..60]]; // _Vincenzo Librandi_, Jun 18 2011 %o A017029 (PARI) a(n)=7*n+4 \\ _Charles R Greathouse IV_, Jul 10 2016 %Y A017029 Cf. A008589, A016993, A017005, A017017. %Y A017029 Cf. similar sequences with closed form (2*k-1)*n+k listed in A269044. %K A017029 nonn,easy %O A017029 0,1 %A A017029 _N. J. A. Sloane_ %E A017029 Extended by _Ray Chandler_, Jan 25 2005