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%I #9 Jan 09 2021 10:00:15
%S 4,16,64,256,1024,4096,20480,98304,458752,2097152,9437184,41943040,
%T 188743680,922746880,4429185024,20937965568,97710505984,450971566080,
%U 2061584302080,9620726743040,46729244180480,224300372066304
%N Let P(k,X) = 4^k*Product_{i=1..k} (X - cos(Pi*i/k)) (which is a polynomial with integer coefficients). Sequence gives maximum values of coefficients of P(n,X).
%e P(3,X) = 64*X^3 + 64*X^2 - 16*X - 16, hence a(3)=64.
%K easy,nonn
%O 1,1
%A _Benoit Cloitre_, Oct 11 2002
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