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 A243136 #16 May 04 2024 13:55:11 %S A243136 -1,1,262087,22619537,457470751,4517251249,28860511751,137379191137, %T A243136 528572943487,1730726404001,4993116004999,13007560326001, %U A243136 31154649926687,69544807113937,146217791079751,291977237261249,557471159562751,1023286908188737,1814011722210887 %N A243136 a(n) = 512*n^10 - 1280*n^8 + 1120*n^6 - 400*n^4 + 50*n^2 - 1. %C A243136 Chebyshev polynomial of the first kind T(10,n). %H A243136 Vincenzo Librandi, <a href="/A243136/b243136.txt">Table of n, a(n) for n = 0..1000</a> %H A243136 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1). %F A243136 G.f.: (-1 + 12*x + 262021*x^2 + 19736800*x^3 + 223070134*x^4 + 685903960*x^5 + 685903498*x^6 + 223070464*x^7 + 19736635*x^8 + 262076*x^9 + x^10)/(1 - x)^11. %F A243136 a(n) = (2*n^2 - 1)*(256*n^8 - 512*n^6 + 304*n^4 - 48*n^2 + 1). %F A243136 a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11). - _Wesley Ivan Hurt_, May 04 2024 %p A243136 a:= n-> simplify(ChebyshevT(10, n)): %p A243136 seq(a(n), n=0..30); # _Alois P. Heinz_, May 31 2014 %t A243136 Table[ChebyshevT[10, n], {n, 0, 30}] (* or *) Table[512 n^10 - 1280 n^8 + 1120 n^6 - 400 n^4 + 50 n^2 - 1, {n, 0, 30}] %o A243136 (Magma) [512*n^10-1280*n^8+1120*n^6-400*n^4+50*n^2-1: n in [0..30]]; %Y A243136 Cf. A056220, A144129, A144130. %K A243136 sign,easy %O A243136 0,3 %A A243136 _Vincenzo Librandi_, May 31 2014