%I
%S 1,1,1,2,2,3,4,5,7,7,7,10,9,10,12,14,15,16,16,18,19,19,20,22,23,23,25,
%T 26,27,27,28,30,31,31,33,34,35,36,37,38,39,40,40,41,42,43,45,46,47,48,
%U 49,50,51,52,53,54,55,56,57,56,58,60,61,62,63,64,65,65
%N Number of distinct nonzero numbers of partitions of n counted by length.
%C Also the number of distinct nonzero entries in row n of A008284.
%e Row n = 9 of A008284 is (1, 4, 7, 6, 5, 3, 2, 1, 1), which has union {1,2,3,4,5,6,7}, so a(9) = 7.
%t Table[Length[Union[Table[Length[IntegerPartitions[n,{k}]],{k,n}]]],{n,30}]
%Y Cf. A001221, A006128, A007870, A008284, A056239, A116608, A181819, A302247.
%K nonn
%O 1,4
%A _Gus Wiseman_, May 07 2019
