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A169990
Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) 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
OFFSET
0,9
COMMENTS
Product_{i=0..m-1} (1 + x^(2*i+1)) is the Poincaré polynomial for GL(m).
Number of self-conjugate 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.
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved