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 A330996 #4 Jan 09 2020 18:13:45
%S A330996 1,1,2,2,2,2,3,3,4,4,4,5,5,6,6,7,7,8,8,9,10,10,11,12,13,14,15,16,17,
%T A330996 18,19,20,21,23,24,25,27,28,30,32,34,35,37,39,41,44,46,48,51,53,56,59,
%U A330996 61,64,68,71,74,78,81,85,89,93,97,101,106,111,115,120,126
%N A330996 Nearest integer to P(n)/Q(n) = A000041(n)/A000009(n).
%C A330996 Conjecture: This sequence is nondecreasing. More generally, the rational sequence A000041(n)/A000009(n) is nondecreasing for n > 5.
%t A330996 Table[Round[PartitionsP[n]/PartitionsQ[n]],{n,0,100}]
%Y A330996 The numerators are A330994.
%Y A330996 The denominators are A330995.
%Y A330996 The same for factorizations is A331048.
%Y A330996 Cf. A000009, A000041, A001055, A003238, A035359, A045778, A046063, A331022.
%K A330996 nonn
%O A330996 0,3
%A A330996 _Gus Wiseman_, Jan 08 2020