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Expansion of Product_{i=1..m-1} (1 + x^(4*i-1)) * (1 + x^(2*m-1)) for m = 6.
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%I #16 Oct 12 2024 01:41:15

%S 1,0,0,1,0,0,0,1,0,0,1,2,0,0,2,1,0,0,3,1,0,2,3,0,0,2,3,0,0,4,2,0,1,4,

%T 1,0,2,4,0,0,3,2,0,0,3,2,0,1,3,0,0,1,2,0,0,2,1,0,0,1,0,0,0,1,0,0,1

%N Expansion of Product_{i=1..m-1} (1 + x^(4*i-1)) * (1 + x^(2*m-1)) for m = 6.

%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.

%K nonn,fini,full

%O 0,12

%A _N. J. A. Sloane_, Aug 29 2010