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%I #10 Jan 09 2021 09:58:22
%S 1,1,1,1,3,2,9,13,28,22,174,143,1421,1179,965,1627,22543,19720,311514,
%T 273894,236320,209255,4127583,3734824,16283658,14694118,39214357,
%U 35681217,915568753,847646751,23431024516,43093548356,39165894190
%N Let P(n,x) = Product_{k=1..n} polcyclo(k,x) where polcyclo(k,x) denotes the k-th cyclotomic polynomial. Sequence gives the maximum value of coefficients of P(n,x).
%C The degree of P(n,x) is phi(1) + phi(2) + ... + phi(n) = A002088(n) and if c(n,i) denotes the coefficient of x^i in P(n,x): c(n,i) + c(n, A002088(n) - i) = 0.
%e P(5,x) = x^10 + 2*x^9 + 3*x^8 + 3*x^7 + 2*x^6 - 2*x^4 - 3*x^3 - 3*x^2 - 2*x - 1, hence a(5)=3.
%o (PARI) a(n)=vecmax(vector(sum(k=1,n,eulerphi(k))+1,i,polcoeff(prod(i=1,n,polcyclo(i)),i-1)))
%K nonn
%O 1,5
%A _Benoit Cloitre_, Oct 20 2002
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