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Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=11.
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%I #19 Jan 07 2021 01:19:38

%S 1,1,0,1,1,1,1,1,2,2,2,2,3,3,3,4,5,5,5,6,7,8,8,8,10,11,10,12,13,14,14,

%T 15,17,18,18,19,22,22,22,23,26,26,26,27,29,30,30,30,33,34,32,34,35,36,

%U 35,36,37,38,36,36,38,38,36,36,38,37,36,35,36,35,34,32,34,33,30,30,30,29,27,26

%N Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=11.

%C Product_{i=0..m-1} (1 + x^(2*i+1)) is the Poincaré polynomial for GL(m).

%C Number of self-conjugate partitions of n into at most 11 parts. Also, number of partitions of n into distinct odd parts not larger than 21. - _Álvar Ibeas_, Aug 01 2020

%D H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.

%H Nathaniel Johnston, <a href="/A169994/b169994.txt">Table of n, a(n) for n = 0..121</a> (full sequence)

%F a(n) = a(121-n). - _Rick L. Shepherd_, Feb 24 2013

%Y Cf. A000700, A169987, A169988, A169989, A169990, A169991, A169992, A169993, A169995.

%K nonn,fini,full,easy

%O 0,9

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