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A169995
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Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=12.
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11
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1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6, 7, 8, 8, 9, 11, 11, 11, 13, 14, 15, 15, 17, 19, 20, 20, 22, 25, 25, 26, 28, 31, 31, 32, 34, 37, 38, 38, 40, 44, 44, 44, 47, 49, 50, 50, 53, 55, 56, 55, 58, 60, 60, 59, 62, 64, 63, 63, 64, 66, 65, 64, 65, 68, 65, 64, 65, 66, 64, 63, 63
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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 12 parts. Also, number of partitions of n into distinct odd parts not larger than 23. - 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,easy
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AUTHOR
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STATUS
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approved
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