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A115722
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Table of Durfee square of partitions in Mathematica order.
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4
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0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,10
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LINKS
| Eric Weisstein's World of Mathematics, Durfee Square.
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FORMULA
| If partition is laid out in descending order p(1),p(2),...,p(k) without repetition factors (e.g. [3,2,2,1,1,1]), a(P) = max_k min(k,p(k)).
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EXAMPLE
| First few rows: 0; 1,1; 1,1,1; 1,1,2,1,1; 1,1,2,1,2,1,1
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CROSSREFS
| Cf. A115721, A115994, A115720, A080577.
Row lengths A000041, totals A115995.
Sequence in context: A080028 A143223 A063993 * A115721 A138330 A128591
Adjacent sequences: A115719 A115720 A115721 * A115723 A115724 A115725
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KEYWORD
| nonn,tabf
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AUTHOR
| Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 11 2006
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