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Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 11.
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%I #20 Dec 26 2023 12:19:06

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

%T 4,2,2,4,4,3,2,5,6,2,3,7,5,3,4,8,6,3,6,9,6,5,7,11,7,5,10,11,7,7,10,12,

%U 9,7,13,13,9,9,14,14,10,10,17,14,11,12,17,16,11,13,20,15,12,16,19,17,13,17

%N Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 11.

%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="/A170983/b170983.txt">Table of n, a(n) for n = 0..231</a> (full sequence)

%F a(n) = a(231-n). - _Rick L. Shepherd_, Mar 02 2013

%K nonn,fini,full,easy

%O 0,19

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