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 A335938 #8 Jul 02 2020 03:51:48 %S A335938 48,60,72,80,90,150,162,192,240,288,294,320,336,360,420,432,448,504, %T A335938 528,540,560,576,600,624,630,648,660,704,720,726,756,768,780,792,800, %U A335938 810,816,832,880,912,924,936,960,990,1008,1014,1020,1040,1050,1092,1104,1134 %N A335938 Bi-unitary pseudoperfect numbers (A292985) that are not exponentially odd numbers (A268335). %C A335938 Pseudoperfect numbers (A005835) that are exponentially odd (A268335) are also bi-unitary pseudoperfect numbers (A292985), since all of their divisors are bi-unitary. %C A335938 First differs from A335216 at n = 28. %H A335938 Amiram Eldar, <a href="/A335938/b335938.txt">Table of n, a(n) for n = 1..3000</a> %e A335938 48 is a term since it is not exponentially odd number (48 = 2^4 * 3 and 4 is even), so not all of its divisors are bi-unitary, and it is the sum of a subset of its bi-unitary divisors: 8 + 16 + 24 = 48. %t A335938 f[n_] := Select[Divisors[n], Function[d, CoprimeQ[d, n/d]]]; bdiv[m_] := Select[Divisors[m], Last@Intersection[f@#, f[m/#]] == 1 &]; bPspQ[n_] := Module[{d = Most @ bdiv[n], x}, SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, n}], n] > 0]; expOddQ[n_] := AllTrue[Last /@ FactorInteger[n], OddQ]; Select[Range[1000], ! expOddQ[#] && bPspQ[#] &] %Y A335938 Subsequence of A005835 and A292985. %Y A335938 Cf. A222266, A268335, A295830, A335216. %K A335938 nonn %O A335938 1,1 %A A335938 _Amiram Eldar_, Jun 30 2020