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 A309098 Number of partitions of n avoiding the partition (4,3). 3
 1, 1, 2, 3, 5, 7, 11, 14, 20, 25, 33, 39, 51, 58, 72, 82, 99, 110, 131, 143, 168, 183, 210, 226, 259, 277, 312, 333, 372, 394, 439, 462, 511, 537, 588, 617, 675, 705, 765, 798, 864, 898, 970, 1005, 1081, 1121, 1199, 1240, 1326, 1369, 1459, 1505, 1599, 1646 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS We say a partition alpha contains mu provided that one can delete rows and columns from (the Ferrers board of) alpha and then top/right justify to obtain mu.  If this is not possible then we say alpha avoids mu.  For example the only partitions avoiding (2,1) are those whose Ferrers boards are rectangles. LINKS Jonathan Bloom, Nathan McNew, Counting pattern-avoiding integer partitions, arXiv:1908.03953 [math.CO], 2019. J. Bloom and D. Saracino, On Criteria for rook equivalence of Ferrers boards, arXiv:1808.04221 [math.CO], 2018. J. Bloom and D. Saracino, Rook and Wilf equivalence of integer partitions, arXiv:1808.04238 [math.CO], 2018. J. Bloom and D. Saracino, Rook and Wilf equivalence of integer partitions, European J. Combin., 71 (2018), 246-267. J. Bloom and D. Saracino, On Criteria for rook equivalence of Ferrers boards, European J. Combin., 76 (2018), 199-207. CROSSREFS Cf. A309097, A309099, A309058. Sequence in context: A325333 A036608 A309097 * A136185 A319471 A218506 Adjacent sequences:  A309095 A309096 A309097 * A309099 A309100 A309101 KEYWORD nonn AUTHOR Jonathan S. Bloom, Jul 12 2019 EXTENSIONS More terms from Alois P. Heinz, Jul 12 2019 STATUS approved

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Last modified September 23 09:03 EDT 2020. Contains 337298 sequences. (Running on oeis4.)