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A169992 Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=9.

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%I A169992 #14 Jan 07 2021 01:19:30
%S A169992 1,1,0,1,1,1,1,1,2,2,2,2,3,3,3,4,5,5,5,5,6,7,6,7,8,9,8,9,10,10,10,10,
%T A169992 12,12,11,11,13,12,12,12,13,13,12,12,12,13,11,11,12,12,10,10,10,10,9,
%U A169992 8,9,8,7,6,7,6,5,5,5,5,4,3,3,3,2,2,2,2,1,1,1,1,1,0,1,1
%N A169992 Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=9.
%C A169992 Product_{i=0..m-1} (1 + x^(2*i+1)) is the Poincaré polynomial for GL(m).
%C A169992 Number of self-conjugate partitions of n into at most 9 parts. Also, number of partitions of n into distinct odd parts not larger than 17. - _Álvar Ibeas_, Aug 01 2020
%D A169992 H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.
%Y A169992 Cf. A000700, A169987, A169988, A169989, A169990, A169991, A169993, A169994, A169995.
%K A169992 nonn,fini,full
%O A169992 0,9
%A A169992 _N. J. A. Sloane_, Aug 29 2010