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A115724
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Number of partitions with maximum rectangle n.
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4
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1, 1, 3, 5, 16, 16, 76, 53, 218, 303, 750, 412, 3680, 1361, 5015, 9206, 23162, 8290, 66166, 19936, 161656, 192181, 236007, 100730, 1338186, 819694, 1180478, 1924986, 5215844, 1246468, 17370367, 3098322, 24926724, 23473968, 24790503
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Eric Weisstein's World of Mathematics, Ferrers Diagram.
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FORMULA
| a(n) = A115725(n) - A115725(n-1).
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EXAMPLE
| The 16 partitions with maximum rectangle 4 are [4], [2^2], [1^4], [4,1], [3,2], [2^2,1], [2,1^3], [4,2], [4,1^2], [3,2,1], [3,1^3], [2^2,1^2], [4,2,1], [4,1^3], [3,2,1^2] and [4,2,1^2].
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CROSSREFS
| Cf. A115725, A115723, A115726, A115727.
Sequence in context: A018771 A175138 A006593 * A039782 A080056 A019096
Adjacent sequences: A115721 A115722 A115723 * A115725 A115726 A115727
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KEYWORD
| nonn
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AUTHOR
| Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 11 2006
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