%I #17 Jan 04 2021 04:32:51
%S 1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,2,1,1,1,1,1,1,1,1,2,0,1,1,1,0,1,
%T 1,1,1,0,1,0,0,0,1,0,0,1
%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 5.
%C (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré polynomial for O(2m).
%D H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
%t CoefficientList[Series[Product[1 + x^(4 i - 1), {i, 4}]*(1 + x^9), {x, 0, 45}], x] (* _Vincenzo Librandi_, Mar 14 2013 *)
%K nonn,fini,full
%O 0,19
%A _N. J. A. Sloane_, Aug 29 2010