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 A174312 #55 Apr 08 2025 15:43:36 %S A174312 0,32,64,96,128,160,192,224,256,288,320,352,384,416,448,480,512,544, %T A174312 576,608,640,672,704,736,768,800,832,864,896,928,960,992,1024,1056, %U A174312 1088,1120,1152,1184,1216,1248,1280,1312,1344,1376,1408,1440,1472,1504,1536,1568,1600 %N A174312 a(n) = 32*n. %C A174312 Subsequence of squares is A017066 (see 2nd formula). - _Bernard Schott_, Mar 03 2023 %H A174312 Vincenzo Librandi, <a href="/A174312/b174312.txt">Table of n, a(n) for n = 0..1000</a> %H A174312 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A174312 G.f.: 32*x/(1-x)^2. %F A174312 a(A001105(n)) = A017066(n). - _Bernard Schott_, Mar 05 2023 %F A174312 From _Elmo R. Oliveira_, Apr 07 2025: (Start) %F A174312 E.g.f.: 32*x*exp(x). %F A174312 a(n) = 2*A008598(n) = A152691(n)/2. %F A174312 a(n) = 2*a(n-1) - a(n-2). (End) %t A174312 Range[0, 3000, 32] (* _Vladimir Joseph Stephan Orlovsky_, Jun 03 2011 *) %o A174312 (Magma) [32*n: n in [0..60]]; // _Vincenzo Librandi_, Aug 04 2011 %o A174312 (PARI) a(n)=n<<5 \\ _Charles R Greathouse IV_, Dec 21 2011 %Y A174312 Cf. A001105, A008598, A017066, A135628, A135631, A152691. %K A174312 nonn,easy %O A174312 0,2 %A A174312 _Paul Curtz_, Nov 27 2010