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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.

A303365 Number of integer partitions of the n-th squarefree number using squarefree numbers.

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%I A303365 #10 Aug 23 2024 12:17:23
%S A303365 1,2,3,6,9,12,28,36,60,76,96,150,228,342,416,504,877,1484,1759,2079,
%T A303365 2885,3387,3968,5413,6304,7328,9852,11395,13159,20082,23056,39532,
%U A303365 51385,66488,85660,97078,109907,140465,158573,226918,255268,286920,361606,405470
%N A303365 Number of integer partitions of the n-th squarefree number using squarefree numbers.
%H A303365 Chai Wah Wu, <a href="/A303365/b303365.txt">Table of n, a(n) for n = 1..10000</a>
%F A303365 a(n) = A073576(A005117(n)).
%e A303365 The a(5) = 9 partitions are (6), (51), (33), (321), (3111), (222), (2211), (21111), (111111).
%t A303365 nn=80;
%t A303365 sqf=Select[Range[nn],SquareFreeQ];
%t A303365 ser=Product[1/(1-x^sqf[[n]]),{n,Length[sqf]}];
%t A303365 Table[SeriesCoefficient[ser,{x,0,n}],{n,sqf}]
%Y A303365 Cf. A000051, A005117, A072774, A073576, A078374, A302491, A302796, A303283, A303364.
%K A303365 nonn
%O A303365 1,2
%A A303365 _Gus Wiseman_, Apr 22 2018