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 A075733 Array of coefficients in Zagier's polynomials P_(n,0)(x). 3

%I

%S 1,-2,1,-8,8,1,-18,48,-32,1,-32,160,-256,128,1,-50,400,-1120,1280,

%T -512,1,-72,840,-3584,6912,-6144,2048,1,-98,1568,-9408,26880,-39424,

%U 28672,-8192,1,-128,2688,-21504,84480,-180224,212992,-131072,32768,1,-162,4320,-44352,228096,-658944,1118208

%N Array of coefficients in Zagier's polynomials P_(n,0)(x).

%C Zagier's polynomial P_{n,m} (m<=n and m>=0) are used under pari-gp (for algorithmic acceleration of alternating or positive series)

%C Up to signs, coefficients of Chebyshev's T-polynomials for even index. See A127674.

%F P_(n, 0)(x) = (-1)^n*2^(2*n-1)*prod(i=1, n, x-cos(Pi*(2*i-1)/4/n)^2)

%Y Cf. A000332.

%K sign,tabl

%O 1,2

%A _Benoit Cloitre_, Oct 18 2002

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Last modified May 7 23:48 EDT 2021. Contains 343652 sequences. (Running on oeis4.)