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A337585
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a(n) is the number of integer multisets (partitions) for which the number of partitions of n with matching multiplicity multiset is odd.
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1
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1, 1, 2, 3, 5, 3, 9, 9, 14, 14, 18, 22, 31, 27, 37, 42, 65, 61, 83, 82, 111, 110, 142, 147, 187, 190, 230, 242, 296, 319, 358, 412, 471, 505, 600, 595, 753, 781, 895, 921, 1082, 1143, 1272, 1405, 1587, 1632, 1872, 2000, 2263, 2419, 2648, 2799, 3223, 3319, 3723
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OFFSET
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0,3
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COMMENTS
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The number of multiplicity multisets met by a positive even number of partitions of n is A088887(n) - a(n).
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LINKS
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FORMULA
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EXAMPLE
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The partitions of 7 exhibit 10 = A088887(7) different multisets of multiplicities. Except for (3, 1) (met by partitions (4, 1, 1, 1) and (2, 2, 2, 1)), an odd number of partitions of 7 lead to each of them, so a(7) = 9.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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