A169989 - OEIS

%I #13 Aug 01 2020 11:39:30

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

%T 0,1,1

%N Expansion of Product_{i=0..m-1} 1 + x^(2*i+1) for m=6.

%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 6 parts. Also, number of partitions of n into distinct odd parts not larger than 11. - _Álvar Ibeas_, Jul 30 2020

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

%t CoefficientList[Series[Product[1+x^(2i+1),{i,0,5}],{x,0,40}],x] (* _Harvey P. Dale_, Mar 03 2013 *)

%Y Cf. A169987-A169995, A000700.

%K nonn,fini,full

%O 0,9

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