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Search: id:A124943
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| A124943 |
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Table read by rows: number of partitions of n with k as low median. |
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2
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| 1, 1, 1, 2, 0, 1, 3, 1, 0, 1, 4, 2, 0, 0, 1, 6, 3, 1, 0, 0, 1, 8, 4, 2, 0, 0, 0, 1, 11, 6, 3, 1, 0, 0, 0, 1, 15, 8, 4, 2, 0, 0, 0, 0, 1, 20, 12, 5, 3, 1, 0, 0, 0, 0, 1, 26, 16, 7, 4, 2, 0, 0, 0, 0, 0, 1, 35, 22, 10, 5, 3, 1, 0, 0, 0, 0, 0, 1, 45, 29, 14, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 58, 40, 19, 8, 5, 3, 1
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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For a multiset with an odd number of elements, the low median is the same as the median. For a multiset with an even number of elements, the low median is the smaller of the two central elements.
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EXAMPLE
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For the partition [2,1^2], the sole middle element is 1, so that is the low median. For [3,2,1^2], the two middle elements are 1 and 2; the low median is the smaller, 1.
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CROSSREFS
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Cf. A124944, A026794, A008284, A000041 (row sums), A027336 (1st column).
Sequence in context: A089994 A100260 A165317 this_sequence A099557 A079217 A079221
Adjacent sequences: A124940 A124941 A124942 this_sequence A124944 A124945 A124946
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KEYWORD
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nonn,tabl
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AUTHOR
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Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 13 2006
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