cp's OEIS Frontend

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.

A306491 Numbers that set a record for the number of distinct prime signatures represented among their divisors (A085082).

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%I A306491 #27 Aug 23 2024 21:03:07
%S A306491 1,2,4,8,12,24,48,96,144,192,288,480,576,720,1152,1440,2880,4320,5760,
%T A306491 8640,11520,17280,34560,51840,69120,103680,120960,138240,207360,
%U A306491 241920,345600,362880,414720,483840,604800,725760,829440,967680,1209600,1451520,1814400
%N A306491 Numbers that set a record for the number of distinct prime signatures represented among their divisors (A085082).
%C A306491 The records are 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 15, 16, 18, 19, 21, 24, 29, 30, 34, 37, 39, 44, 51, 52, 58, 61, 62, 65, 70, ... (see the link for more values).
%C A306491 Numbers that set a record for the number of divisors of least prime signature (A322584). - _Hal M. Switkay_, Aug 20 2024
%H A306491 Amiram Eldar, <a href="/A306491/b306491.txt">Table of n, a(n) for n = 1..533</a>
%H A306491 Amiram Eldar, <a href="/A306491/a306491_1.txt">Table of n, a(n), A085082(a(n)) for n = 1..533</a>
%t A306491 ps[1] = {}; ps[n_] := FactorInteger[n][[All, 2]] // Sort; a[n_] := ps /@ Divisors[n] // Union // Length; s={}; am=0; Do[a1=a[n]; If[a1>am, am=a1; AppendTo[s, n]], {n, 1, 2*10^6}]; s (* after _Jean-François Alcover_ at A085082 *)
%Y A306491 Subsequence of A025487.
%Y A306491 Cf. A085082, A182860, A182862 (unitary version), A322584.
%K A306491 nonn
%O A306491 1,2
%A A306491 _Amiram Eldar_, Feb 19 2019