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 A243135 #12 Sep 08 2022 08:46:08 %S A243135 0,1,70226,3880899,58106404,456335045,2421980406,9863382151, %T A243135 33165873224,96450076809,250283080090,592479412811,1300371936876, %U A243135 2678768828749,5228741809214,9743412645135,17438019715216,30122754096401,50428155189474,82094249361619 %N A243135 256*n^9 - 576*n^7 + 432*n^5 - 120*n^3 + 9*n. %D A243135 Chebyshev polynomial of the first kind T(9,n). %H A243135 Vincenzo Librandi, <a href="/A243135/b243135.txt">Table of n, a(n) for n = 0..1000</a> %F A243135 G.f.: x *(1 + 70216*x + 3178684*x^2 + 22457464*x^3 + 41484550*x^4 + 22457464*x^5 + 3178684*x^6 + 70216*x^7 + x^8)/(1 - x)^10. %F A243135 a(n) = n*(4*n^2 - 3)*(64*n^6 - 96*n^4 + 36*n^2 - 3). %p A243135 a:= n-> simplify(ChebyshevT(9, n)): %p A243135 seq(a(n), n=0..30); # _Alois P. Heinz_, May 31 2014 %t A243135 Table[ChebyshevT[9, n], {n, 0, 20}] (* or *) Table[256 n^9 - 576 n^7 + 432 n^5 - 120 n^3 + 9 n, {n, 0, 20}] %o A243135 (Magma) [256*n^9-576*n^7+432*n^5-120*n^3+9*n: n in [0..20]]; %Y A243135 Cf. A056220, A144129, A144130. %K A243135 nonn,easy %O A243135 0,3 %A A243135 _Vincenzo Librandi_, May 31 2014