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%I A242851 #9 Sep 08 2022 08:46:08
%S A242851 -1,7,2911,40391,242047,950599,2883167,7338631,16451071,33489287,
%T A242851 63202399,112211527,189447551,306634951,478821727,724955399,
%U A242851 1068505087,1538129671,2168392031,3000519367,4083209599,5473483847,7237584991,9451922311,12204062207,15593764999
%N A242851 64*n^6 - 80*n^4 + 24*n^2 - 1.
%C A242851 Chebyshev polynomial of the second kind U(6,n).
%H A242851 Vincenzo Librandi, <a href="/A242851/b242851.txt">Table of n, a(n) for n = 0..1000</a>
%F A242851 G.f.: (-1 + 14*x + 2841*x^2 + 20196*x^3 + 20161*x^4 + 2862*x^5 + 7*x^6)/(1 - x)^7.
%F A242851 a(n) =  (8*n^3-4*n^2-4*n+1)*(8*n^3+4*n^2-4*n-1).
%t A242851 Table[64 n^6 - 80 n^4 + 24 n^2 - 1, {n, 0, 40}] (* or *) Table[ChebyshevU[6, n], {n, 0, 40}]
%o A242851 (Magma) [64*n^6-80*n^4+24*n^2-1: n in [0..40]];
%Y A242851 Cf. A000466, A144138, A144139, A242850.
%K A242851 sign,easy
%O A242851 0,2
%A A242851 _Vincenzo Librandi_, May 29 2014
%E A242851 Edited by _Bruno Berselli_, May 29 2014

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