

A169990


Expansion of Prod((1+x^(2*i+1)),i=0..m1) for m=7.


5



1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,9


COMMENTS

Prod((1+x^(2*i+1)),i=0..m1) is the Poincaré polynomial for GL(m).
Number of selfconjugate partitions of n into at most 7 parts. Also, number of partitions of n into distinct odd parts not larger than 13.  Álvar Ibeas, Aug 01 2020


REFERENCES

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


LINKS

Table of n, a(n) for n=0..49.


CROSSREFS

Cf. A000700, A169987, A169988, A169989, A169991, A169992, A169993, A169994, A169995.
Sequence in context: A237354 A261104 A326032 * A055679 A056172 A285881
Adjacent sequences: A169987 A169988 A169989 * A169991 A169992 A169993


KEYWORD

nonn,fini,full


AUTHOR

N. J. A. Sloane, Aug 29 2010


STATUS

approved



