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 A335140 #12 Apr 04 2023 07:43:30 %S A335140 60,90,150,294,420,630,660,726,750,780,840,924,990,1014,1020,1050, %T A335140 1092,1140,1170,1380,1386,1428,1470,1530,1596,1638,1650,1710,1734, %U A335140 1740,1860,1890,1950,2058,2070,2142,2166,2220,2394,2460,2550,2580,2610,2790,2820,2850 %N A335140 Unitary pseudoperfect numbers (A293188) that are nonsquarefree. %C A335140 The pseudoperfect numbers (A005835) that are squarefree are also unitary pseudoperfect numbers (A293188) since all of their divisors are unitary. %H A335140 Amiram Eldar, <a href="/A335140/b335140.txt">Table of n, a(n) for n = 1..10000</a> %e A335140 60 is a term since it is nonsquarefree (it is divisible by 4 = 2^2) and it is equal to a sum of its aliquot unitary divisors: 1 + 3 + 4 + 5 + 12 + 15 + 20 = 60. %t A335140 pspQ[n_] := !SquareFreeQ[n] && Module[{d = Most @ Select[Divisors[n], CoprimeQ[#, n/#] &], x}, Plus @@ d >= n && SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, n}], n] > 0]; Select[Range[1000], pspQ] %Y A335140 Intersection of A013929 and A293188. %Y A335140 Subsequence of A005835. %K A335140 nonn %O A335140 1,1 %A A335140 _Amiram Eldar_, May 25 2020