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A258282
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Number of partitions of 4 copies of n into distinct parts.
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2
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1, 1, 5, 7, 20, 31, 75, 118, 266, 401, 841, 1345, 2581, 4023, 7758, 11932, 21543, 33941, 59099, 91816, 159059, 242955, 407523, 634827, 1032202, 1576276, 2572429, 3888631, 6177754, 9400070, 14665453, 22055721, 34349618, 51033150, 78166821, 116800290, 176090572
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OFFSET
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7,3
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LINKS
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FORMULA
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a(n) = 1/4! * [(x*y*z*u)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j).
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EXAMPLE
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a(9) = 5: [9;8,1;7,2;6,3], [9;8,1;7,2;5,4], [9;8,1;6,3;5,4], [9;7,2;6,3;5,4], [8,1;7,2;6,3;5,4].
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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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