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Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=8.
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%I #14 Jan 07 2021 01:19:26

%S 1,1,0,1,1,1,1,1,2,2,2,2,3,3,3,4,5,4,4,5,5,6,5,6,7,7,6,7,8,7,7,7,8,7,

%T 7,7,8,7,6,7,7,6,5,6,5,5,4,4,5,4,3,3,3,2,2,2,2,1,1,1,1,1,0,1,1

%N Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=8.

%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 8 parts. Also, number of partitions of n into distinct odd parts not larger than 15. - _Álvar Ibeas_, Aug 01 2020

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

%Y Cf. A000700, A169987, A169988, A169989, A169990, A169992, A169993, A169994, A169995.

%K nonn,fini,full

%O 0,9

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