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 A341595 #14 Nov 01 2024 05:15:10
%S A341595 0,1,1,0,1,2,1,0,0,2,1,1,1,2,2,0,1,1,1,2,2,2,1,1,0,2,0,2,1,4,1,0,2,2,
%T A341595 2,0,1,2,2,1,1,4,1,2,1,2,1,0,0,1,2,2,1,0,2,1,2,2,1,3,1,2,1,0,2,4,1,2,
%U A341595 2,4,1,0,1,2,1,2,2,4,1,1,0,2,1,3,2,2,2
%N A341595 Number of strictly superior squarefree divisors of n.
%C A341595 We define a divisor d|n to be strictly superior if d > n/d. Strictly superior divisors are counted by A056924 and listed by A341673.
%H A341595 Amiram Eldar, <a href="/A341595/b341595.txt">Table of n, a(n) for n = 1..10000</a>
%e A341595 The strictly superior squarefree divisors (columns) of selected n:
%e A341595 n = 1 2 6 30 60 210 420 630 1050 2310 4620 6930
%e A341595 ----------------------------------------------------
%e A341595 {} 2 3 6 10 15 21 30 35 55 70 105
%e A341595 6 10 15 21 30 35 42 66 77 110
%e A341595 15 30 30 35 42 70 70 105 154
%e A341595 30 35 42 70 105 77 110 165
%e A341595 42 70 105 210 105 154 210
%e A341595 70 105 210 110 165 231
%e A341595 105 210 154 210 330
%e A341595 210 165 231 385
%e A341595 210 330 462
%e A341595 231 385 770
%e A341595 330 462 1155
%e A341595 385 770 2310
%e A341595 462 1155
%e A341595 770 2310
%e A341595 1155
%e A341595 2310
%t A341595 Table[Length[Select[Divisors[n],SquareFreeQ[#]&&#>n/#&]],{n,100}]
%o A341595 (PARI) a(n) = sumdiv(n, d, d^2 > n && issquarefree(d)); \\ _Amiram Eldar_, Nov 01 2024
%Y A341595 The inferior version is A333749.
%Y A341595 The non-strict version is A341592.
%Y A341595 The version for odd instead of squarefree divisors is A341594.
%Y A341595 The strictly inferior version is A341596.
%Y A341595 The version for prime instead of squarefree divisors is A341642.
%Y A341595 The version for prime-power instead of squarefree divisors is A341644.
%Y A341595 Positions of 0's are A341645, with complement A341646.
%Y A341595 A038548 counts superior (or inferior) divisors.
%Y A341595 A056924 counts strictly superior (or strictly inferior) divisors.
%Y A341595 A161908 lists superior divisors.
%Y A341595 A207375 list central divisors.
%Y A341595 A341673 lists strictly superior divisors.
%Y A341595 - Inferior: A033676, A063962, A066839, A069288, A161906, A217581, A333750.
%Y A341595 - Superior: A033677, A051283, A059172, A063538, A063539, A070038, A116882, A116883, A341593, A341675, A341676.
%Y A341595 - Strictly Inferior: A060775, A333805, A333806, A341674.
%Y A341595 - Strictly Superior: A048098, A064052 A140271, A238535, A341591, A341643.
%Y A341595 Cf. A000005, A000203, A001221, A001222, A001248, A006530, A020639, A112798.
%K A341595 nonn
%O A341595 1,6
%A A341595 _Gus Wiseman_, Feb 19 2021