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 A243133 #11 Sep 08 2022 08:46:08
%S A243133 0,1,5042,114243,937444,4656965,17057046,50843527,130576328,299537289,
%T A243133 628855930,1229215691,2265463212,3974443213,6686381534,10850138895,
%U A243133 17062657936,26102926097,38970776898,56930852179,81562047860,114812765781,159062294182
%N A243133 64*n^7 - 112*n^5 + 56*n^3 - 7*n.
%C A243133 Chebyshev polynomial of the first kind T(7,n).
%H A243133 Vincenzo Librandi, <a href="/A243133/b243133.txt">Table of n, a(n) for n = 0..1000</a>
%H A243133 <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 A243133 G.f.: (x + 5034*x^2 + 73935*x^3 + 164620*x^4 + 73935*x^5 + 5034*x^6 + x^7)/(1 - x)^8.
%F A243133 a(n) = n*(64*n^6 - 112*n^4 + 56*n^2 - 7).
%F A243133 a(0)=0, a(1)=1, a(2)=5042, a(3)=114243, a(4)=937444, a(5)=4656965, a(6)=17057046, a(7)=50843527, a(n)=8*a(n-1)-28*a(n-2)+56*a(n-3)- 70*a(n-4)+ 56*a(n-5)-28*a(n-6)+8*a(n-7)-a(n-8). - _Harvey P. Dale_, Mar 27 2015
%t A243133 Table[ChebyshevT[7, n], {n, 0, 40}] (* or *) Table[64 n^7 - 112 n^5 + 56 n^3 - 7 n, {n, 0, 40}]
%t A243133 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,1,5042,114243,937444,4656965,17057046,50843527},40] (* _Harvey P. Dale_, Mar 27 2015 *)
%o A243133 (Magma) [64*n^7-112*n^5+56*n^3-7*n: n in [0..40]];
%Y A243133 Cf. A056220, A144129, A144130.
%K A243133 nonn,easy
%O A243133 0,3
%A A243133 _Vincenzo Librandi_, May 31 2014