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%I
%S 1,1,7,99,1921,47525,1431431,50843527,2081028097,96450076809,
%T 4993116004999,285573847759211,17882714781360001,1216895030905226413,
%U 89415396036432386311,7055673735003659189775,595077930963909484707841,53421565080956452077519377
%N Chebyshev polynomial of the first kind T(n,x), evaluated at x=n.
%D M. Rosenblum and J. Rovnyak, Hardy Classes and Operator Theory, Dover, New York, 1985, page 18
%D G. Szego, Orthogonal polynomials, Amer. Math. Soc., Providence, 1939, p. 29.
%D G. Freud, Orthogonal Polynomials, Pergamon Press, Oxford, 1966, p. 35.
%F a(n)=cos(n*arccos(n)).
%e a(3) = 99 because T[3, x] = 4x^3 - 3x and T[3, 3] = 4*3^3 - 3*3 = 99.
%p with(orthopoly): seq(T(n,n),n=0..17);
%t Table[ChebyshevT[n, n], {n, 0, 17}] (* _Arkadiusz Wesolowski_, Nov 17 2012 *)
%o (PARI) A115066(n)=cos(n*acos(n)) \\ - _M. F. Hasler_, Apr 06 2012
%K nonn
%O 0,3
%A _Roger Bagula_, Mar 01 2006
%E Edited by _N. J. A. Sloane_, Apr 05 2006
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