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A124944
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Table, number of partitions of n with k as high median.
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1
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1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 4, 3, 1, 1, 1, 1, 6, 4, 1, 1, 1, 1, 1, 8, 6, 3, 1, 1, 1, 1, 1, 11, 8, 5, 1, 1, 1, 1, 1, 1, 15, 11, 7, 3, 1, 1, 1, 1, 1, 1, 20, 15, 9, 5, 1, 1, 1, 1, 1, 1, 1, 26, 21, 12, 8, 3, 1, 1, 1, 1, 1, 1, 1, 35, 27, 16, 10, 5, 1, 1, 1, 1, 1, 1, 1, 1, 45, 37, 21, 13, 8, 3
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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COMMENTS
| For a multiset with an odd number of elements, the high median is the same as the median. For a multiset with an even number of elements, the high median is the larger of the two central elements.
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EXAMPLE
| For the partition [2,1^2], the sole middle element is 1, so that is the high median. For [3,2,1^2], the two middle elements are 1 and 2; the high median is the larger, 2.
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CROSSREFS
| Cf. A124943, A026794, A008284, A000041 (row sums), A027336 (1st column).
Sequence in context: A107682 A178239 A085476 * A094392 A111946 A175788
Adjacent sequences: A124941 A124942 A124943 * A124945 A124946 A124947
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KEYWORD
| nonn,tabl
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AUTHOR
| Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 13 2006
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