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 A024038 #35 Aug 20 2023 10:50:17 %S A024038 1,3,12,55,240,999,4060,16335,65472,262063,1048476,4194183,16777072, %T A024038 67108695,268435260,1073741599,4294967040,17179868895,68719476412, %U A024038 274877906583,1099511627376,4398046510663,17592186043932 %N A024038 a(n) = 4^n - n^2. %H A024038 Vincenzo Librandi, <a href="/A024038/b024038.txt">Table of n, a(n) for n = 0..500</a> %H A024038 Guo-Niu Han, <a href="https://arxiv.org/abs/2006.14070">Enumeration of Standard Puzzles</a>, arXiv:2006.14070 [math.CO], 2020. %H A024038 Guo-Niu Han, <a href="/A196265/a196265.pdf">Enumeration of Standard Puzzles</a>. [Cached copy] %H A024038 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,-15,13,-4). %F A024038 a(n) = A000325(n)*A006127(n). - _Reinhard Zumkeller_, Apr 10 2010 %F A024038 G.f.: (1 - 4*x + 6*x^2 + 3*x^3)/((1 - x)^3*(1 - 4*x)). - _Colin Barker_, May 29 2012 %F A024038 E.g.f.: exp(4*x) - x*(1 + x)*exp(x). - _G. C. Greubel_, Aug 18 2023 %t A024038 Table[4^n-n^2,{n,0,30}] (* or *) LinearRecurrence[{7,-15,13,-4},{1,3,12,55},30] (* _Harvey P. Dale_, Sep 14 2013 *) %o A024038 (Magma) [ 4^n-n^2: n in [0..30] ]; // _Vincenzo Librandi_, Dec 25 2010 %o A024038 (SageMath) [4^n-n^2 for n in range(31)] # _G. C. Greubel_, Aug 18 2023 %Y A024038 Cf. A000290, A000302, A000325, A006127. %K A024038 nonn,easy %O A024038 0,2 %A A024038 _N. J. A. Sloane_