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 A242852 #9 Sep 08 2022 08:46:08 %S A242852 0,8,10864,235416,1905632,9409960,34356048,102213944,262184896, %T A242852 600940872,1260879920,2463542488,4538833824,7960697576,13389885712, %U A242852 21724469880,34158739328,52251130504,78001833456,113940720152,163226239840,229755926568,318289163984,434582852536 %N A242852 128*n^7-192*n^5+80*n^3-8*n. %C A242852 Chebyshev polynomial of the second kind U(7,n). %H A242852 Vincenzo Librandi, <a href="/A242852/b242852.txt">Table of n, a(n) for n = 0..1000</a> %H A242852 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1). %F A242852 G.f.: (8*x + 10800*x^2 + 148728*x^3 + 326048*x^4 + 148728*x^5 + 10800*x^6 + 8*x^7)/(1-x)^8. %F A242852 a(n) = 8*n*(2*n^2-1)*(8*n^4-8*n^2+1). %t A242852 Table[ChebyshevU[7, n], {n, 0, 30}] (* or *) Table[128 n^7 - 192 n^5 + 80 n^3 - 8 n, {n, 0, 30}] %o A242852 (Magma) [128*n^7-192*n^5+80*n^3-8*n: n in [0..30]]; %Y A242852 Cf. A144138, A144139, A242850, A242851. %K A242852 nonn,easy %O A242852 0,2 %A A242852 _Vincenzo Librandi_, May 30 2014