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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.

A362853 Numbers with a record number of divisors that are both bi-unitary and exponential.

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%I A362853 #11 Apr 22 2025 21:55:47
%S A362853 1,8,64,216,1728,27000,46656,110592,216000,2985984,5832000,13824000,
%T A362853 74088000,373248000,2000376000,4741632000,46656000000,98611128000,
%U A362853 128024064000,2662500456000,6311112192000,16003008000000,93329542656000,170400029184000,5489031744000000
%N A362853 Numbers with a record number of divisors that are both bi-unitary and exponential.
%C A362853 Indices of records in A362852.
%C A362853 The first 80 terms are cubes. Are there noncubes in this sequence?
%C A362853 The corresponding record values are 1, 2, 3, 4, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, ... (see the link for more values).
%H A362853 Amiram Eldar, <a href="/A362853/b362853.txt">Table of n, a(n) for n = 1..80</a>
%H A362853 Amiram Eldar, <a href="/A362853/a362853.txt">Table of n, a(n), A362852(a(n)) for n = 1..80</a>
%t A362853 f[p_, e_] := DivisorSigma[0, e] - If[OddQ[e], 0, 1]; d[1] = 1; d[n_] := Times @@ f @@@ FactorInteger[n];
%t A362853 v = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {_, _}][[;; , 2]];
%t A362853 seq = {}; dm = 0; Do[If[(dk = d[v[[k]]]) > dm, dm = dk; AppendTo[seq, v[[k]]]], {k, 1, Length[v]}]; seq
%Y A362853 Cf. A362852.
%Y A362853 Subsequence of A025487.
%Y A362853 Similar sequences: A293185, A318278.
%K A362853 nonn
%O A362853 1,2
%A A362853 _Amiram Eldar_, May 05 2023