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A170961 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 8.

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%I A170961 #15 Jan 05 2021 02:39:46
%S A170961 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 A170961 4,0,1,4,3,0,1,5,3,0,2,6,2,0,3,6,2,0,5,6,1,1,5,6,1,1,7,5,0,2,7,4,0,3,
%U A170961 8,3,0,4,7,2,0,5,7,1,1,6,5,1,1,6,5,0,2,6,3,0,2,6,2,0,3,5,1,0,3,4,1,0,4,3,0
%N A170961 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 8.
%C A170961 Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).
%D A170961 H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
%H A170961 Nathaniel Johnston, <a href="/A170961/b170961.txt">Table of n, a(n) for n = 0..136</a> (full sequence)
%F A170961 a(n) = a(136-n). - _Rick L. Shepherd_, Mar 01 2013
%t A170961 CoefficientList[Series[Product[1+x^(4i-1),{i,8}],{x,0,110}],x] (* _Harvey P. Dale_, Aug 22 2012 *)
%Y A170961 Cf. A000700, A147599, A169975, A170956-A170965.
%K A170961 nonn,fini,full,easy
%O A170961 0,19
%A A170961 _N. J. A. Sloane_, Aug 29 2010