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 A144138 #13 Dec 23 2022 18:55:05 %S A144138 0,4,56,204,496,980,1704,2716,4064,5796,7960,10604,13776,17524,21896, %T A144138 26940,32704,39236,46584,54796,63920,74004,85096,97244,110496,124900, %U A144138 140504,157356,175504,194996,215880,238204,262016,287364,314296,342860,373104,405076 %N A144138 Chebyshev polynomial of the second kind U(3,n). %H A144138 Vincenzo Librandi, <a href="/A144138/b144138.txt">Table of n, a(n) for n = 0..1000</a> %H A144138 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A144138 G.f.: 4*x*(1 + 10*x + x^2)/(1 - x)^4. - _Vincenzo Librandi_, May 29 2014 %F A144138 a(n) = 4*n*(2*n^2-1). - _Vincenzo Librandi_, May 29 2014 %t A144138 Table[ChebyshevU[3,n], {n,0,100}] (* and *) Table[4n*(2*n^2-1), {n,0,100}] %t A144138 CoefficientList[Series[4 x (1 + 10 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* _Vincenzo Librandi_, May 29 2014 *) %t A144138 LinearRecurrence[{4,-6,4,-1},{0,4,56,204},40] (* _Harvey P. Dale_, Dec 23 2022 *) %o A144138 (Magma) [8*n^3-4*n: n in [0..40]]; // _Vincenzo Librandi_, May 29 2014 %Y A144138 Cf. A100551, A123027, A144139. %K A144138 nonn,easy %O A144138 0,2 %A A144138 _Vladimir Joseph Stephan Orlovsky_, Sep 11 2008