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A169993
Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=10.
6
1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6, 7, 7, 7, 8, 9, 10, 9, 11, 12, 12, 12, 13, 15, 15, 15, 16, 18, 17, 17, 18, 20, 19, 19, 20, 21, 21, 20, 21, 22, 22, 20, 22, 22, 21, 20, 21, 21, 20, 19, 19, 20, 18, 17, 17, 18, 16, 15, 15, 15, 13, 12, 12, 12, 11, 9, 10, 9, 8, 7, 7, 7, 6
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 10 parts. Also, number of partitions of n into distinct odd parts not larger than 19. - Álvar Ibeas, Aug 01 2020
REFERENCES
H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..100 (full sequence)
FORMULA
a(n) = a(100-n). - Rick L. Shepherd, Feb 24 2013
KEYWORD
nonn,fini,full,easy
AUTHOR
N. J. A. Sloane, Aug 29 2010
STATUS
approved