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Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 9.
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%I #16 Jan 04 2021 04:32:45

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

%T 4,2,2,4,4,2,2,5,4,3,3,6,4,3,4,6,5,4,5,7,5,4,5,7,6,4,7,7,6,4,7,7,6,5,

%U 8,8,6,5,8,7,6,6,8,8,6,6,7,8,5,6,8,8,5,6,7,7,4,6,7,7,4,6,7,5,4,5,7,5,4,5,6

%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 9.

%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.

%H Nathaniel Johnston, <a href="/A170981/b170981.txt">Table of n, a(n) for n = 0..153</a> (full sequence)

%F a(n) = a(153-n). - _Rick L. Shepherd_, Mar 02 2013

%K nonn,fini,full,easy

%O 0,19

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