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A169992
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Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=9.
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5
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1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 6, 7, 8, 9, 8, 9, 10, 10, 10, 10, 12, 12, 11, 11, 13, 12, 12, 12, 13, 13, 12, 12, 12, 13, 11, 11, 12, 12, 10, 10, 10, 10, 9, 8, 9, 8, 7, 6, 7, 6, 5, 5, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1
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OFFSET
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0,9
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COMMENTS
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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 9 parts. Also, number of partitions of n into distinct odd parts not larger than 17. - Álvar Ibeas, Aug 01 2020
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REFERENCES
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H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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