%I A124944
%S A124944 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,
%T A124944 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,
%U A124944 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
%N A124944 Table, number of partitions of n with k as high median.
%C A124944 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.
%e A124944 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.
%Y A124944 Cf. A124943, A026794, A008284, A000041 (row sums), A027336 (1st column).
%Y A124944 Sequence in context: A069897 A107682 A085476 this_sequence A094392 A111946 
               A137844
%Y A124944 Adjacent sequences: A124941 A124942 A124943 this_sequence A124945 A124946 
               A124947
%K A124944 nonn,tabl
%O A124944 1,7
%A A124944 Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 13 2006