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A036883
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Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).
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5
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1, 3, 7, 18, 45, 112, 263, 594, 1284, 2684, 5442, 10761, 20802, 39431, 73410, 134469, 242633, 431772, 758448, 1316294, 2258665, 3834699, 6445463, 10731790, 17709476, 28977664, 47036030, 75767355, 121164398, 192422933, 303572061, 475900075
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OFFSET
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1,2
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COMMENTS
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Alternatively, number of partitions of 5n such that cn(0,5) <= cn(2,5) = cn(3,5) < cn(1,5) = cn(4,5).
For a given partition, cn(i,n) means the number of its parts equal to i modulo n.
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LINKS
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Table of n, a(n) for n=1..32.
Index and properties of sequences related to partitions of 5n
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FORMULA
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a(n) = A036880(n) - A202087(n)
a(n) = A036886(n) + A036893(n)
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CROSSREFS
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Sequence in context: A000226 A291734 A291229 * A247296 A191652 A191826
Adjacent sequences: A036880 A036881 A036882 * A036884 A036885 A036886
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KEYWORD
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nonn
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AUTHOR
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Olivier Gérard
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EXTENSIONS
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Terms a(10) onward from Max Alekseyev, Dec 10 2011
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STATUS
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approved
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