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A169991 Expansion of Prod((1+x^(2*i+1)),i=0..m-1) for m=8. 5
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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

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

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

REFERENCES

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

LINKS

Table of n, a(n) for n=0..64.

CROSSREFS

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

Sequence in context: A121279 A123577 A005854 * A035435 A169992 A025775

Adjacent sequences:  A169988 A169989 A169990 * A169992 A169993 A169994

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Aug 29 2010

STATUS

approved

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Last modified September 21 12:33 EDT 2020. Contains 337272 sequences. (Running on oeis4.)