|
Search: id:A124944
|
|
|
| A124944 |
|
Table, number of partitions of n with k as high median. |
|
+0
2
|
|
| 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; listen)
|
|
|
OFFSET
|
1,7
|
|
|
COMMENT
|
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.
|
|
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.
|
|
CROSSREFS
|
Cf. A124943, A026794, A008284, A000041 (row sums), A027336 (1st column).
Sequence in context: A069897 A107682 A085476 this_sequence A094392 A111946 A137844
Adjacent sequences: A124941 A124942 A124943 this_sequence A124945 A124946 A124947
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 13 2006
|
|
|
Search completed in 0.002 seconds
|
