The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A169995 Expansion of Prod((1+x^(2*i+1)),i=0..m-1) for m=12. 11


%S 1,1,0,1,1,1,1,1,2,2,2,2,3,3,3,4,5,5,5,6,7,8,8,9,11,11,11,13,14,15,15,

%T 17,19,20,20,22,25,25,26,28,31,31,32,34,37,38,38,40,44,44,44,47,49,50,

%U 50,53,55,56,55,58,60,60,59,62,64,63,63,64,66,65,64,65,68,65,64,65,66,64,63,63

%N Expansion of Prod((1+x^(2*i+1)),i=0..m-1) for m=12.

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

%C Number of self-conjugate partitions of n into at most 12 parts. Also, number of partitions of n into distinct odd parts not larger than 23. - _Álvar Ibeas_, Aug 01 2020

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

%H Nathaniel Johnston, <a href="/A169995/b169995.txt">Table of n, a(n) for n = 0..144</a> (full sequence)

%Y Cf. A000700, A169987, A169988, A169989, A169990, A169991, A169992, A169993, A169994.

%K nonn,fini,full,easy

%O 0,9

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 27 09:09 EDT 2020. Contains 337380 sequences. (Running on oeis4.)