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 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