This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A316313 #5 Jun 30 2018 20:40:29
%S A316313 1,1,2,2,3,3,5,6,6,9,11,10,15,17,18,22,28,26,34,37,44,50,61,53,77,82,
%T A316313 93,89,120,120,149,138,174,180,222,193,257,262,305,281,367,359,424,
%U A316313 398,487,507,590,526,662,666,782,729,894,892,995,987,1154,1188,1370
%N A316313 Number of integer partitions of n such that every distinct submultiset has a different average.
%C A316313 Note that such a partition is necessarily strict.
%e A316313 The a(8) = 6 integer partitions are (8), (71), (62), (53), (521), (431).
%t A316313 Table[Length[Select[IntegerPartitions[n],UnsameQ@@Mean/@Union[Subsets[#]]&]],{n,20}]
%Y A316313 Cf. A000009, A108917, A275972, A276024, A284640, A299702, A301899, A301900, A316271, A316314.
%K A316313 nonn
%O A316313 1,3
%A A316313 _Gus Wiseman_, Jun 29 2018