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 A168329 #35 Aug 29 2024 00:56:50 %S A168329 3,3,9,9,15,15,21,21,27,27,33,33,39,39,45,45,51,51,57,57,63,63,69,69, %T A168329 75,75,81,81,87,87,93,93,99,99,105,105,111,111,117,117,123,123,129, %U A168329 129,135,135,141,141,147,147,153,153,159,159,165,165,171,171,177,177,183,183 %N A168329 a(n) = (3/2)*(2*n - (-1)^n - 1). %H A168329 Vincenzo Librandi, <a href="/A168329/b168329.txt">Table of n, a(n) for n = 1..10000</a> %H A168329 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A168329 a(n) = 6*n - a(n-1) - 6 for n>1, a(1)=3. %F A168329 G.f.: 3*x*(1 + x^2)/((1+x)*(1-x)^2). - _Bruno Berselli_, Nov 06 2011 %F A168329 a(n) = -a(-n+1) = 3*A109613(n-1) = A198392(n-1) - A198392(-n). - _Bruno Berselli_, Nov 06 2011 - Sep 17 2013 %F A168329 E.g.f.: (3/2)*(-1 + 2*exp(x) + (2*x - 1)*exp(2*x))*exp(-x). - _G. C. Greubel_, Jul 18 2016 %t A168329 LinearRecurrence[{1,1,-1},{3,3,9},80 ] (* _Vincenzo Librandi_, Nov 15 2011 *) %t A168329 Table[(3/2) (2 n - (-1)^n - 1), {n, 70}] (* _Bruno Berselli_, Sep 17 2013 *) %o A168329 (Magma) [(3/2)*(2*n-(-1)^n-1): n in [1..70]]; // _Vincenzo Librandi_, Nov 15 2011 %Y A168329 Cf. A016945, A109613, A198392. %K A168329 nonn,easy,less %O A168329 1,1 %A A168329 _Vincenzo Librandi_, Nov 23 2009 %E A168329 New definition by _Bruno Berselli_, Sep 17 2013