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A170965 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 12.

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%I A170965 #16 Jan 03 2021 21:11:19
%S A170965 1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,1,2,1,0,1,3,1,0,2,3,1,0,3,
%T A170965 4,1,1,4,4,1,1,5,5,1,2,7,5,1,3,8,6,0,5,10,5,1,6,12,5,1,9,13,4,2,11,14,
%U A170965 4,3,15,15,3,5,17,15,3,7,21,15,3,10,23,15,3,13,27,14,3,17,28,13,4,21,31,12
%N A170965 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 12.
%C A170965 Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).
%D A170965 H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
%H A170965 Nathaniel Johnston, <a href="/A170965/b170965.txt">Table of n, a(n) for n = 0..300</a> (full sequence)
%t A170965 CoefficientList[Series[Product[1+x^(4i-1),{i,12}],{x,0,100}],x] (* _Harvey P. Dale_, Dec 24 2012 *)
%Y A170965 Cf. A000700, A147599, A169975, A170956-A170965.
%K A170965 nonn,fini,full,easy
%O A170965 0,19
%A A170965 _N. J. A. Sloane_, Aug 29 2010