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%I #10 Jan 05 2021 02:39:35
%S 1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,1,2,0,0,1,2,0,0,2,1,0,0,2,
%T 1,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1
%N Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 5.
%C Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).
%D H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
%t CoefficientList[Series[Product[1+x^(4i-1),{i,5}],{x,0,60}],x] (* _Harvey P. Dale_, Mar 09 2019 *)
%Y Cf. A000700, A147599, A169975, A170956-A170965.
%K nonn,fini,full
%O 0,19
%A _N. J. A. Sloane_, Aug 29 2010
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