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.

A377707 Numbers k that have a record number of divisors d such that gcd(d, k/d) is a square.

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%I A377707 #8 Nov 04 2024 20:48:21
%S A377707 1,2,6,30,210,1680,2310,18480,30030,240240,480480,3843840,4084080,
%T A377707 8168160,65345280,77597520,155195040,1241560320,1784742960,3569485920,
%U A377707 28555887360,51757545840,103515091680,828120733440,1604483921040,3208967842080,25671742736640,51343485473280
%N A377707 Numbers k that have a record number of divisors d such that gcd(d, k/d) is a square.
%C A377707 Indices of records in A365171.
%C A377707 The corresponding record values are 1, 2, 4, 8, 16, 24, 32, 48, 64, 96, ... (see the link for more values).
%H A377707 Amiram Eldar, <a href="/A377707/b377707.txt">Table of n, a(n) for n = 1..102</a>
%H A377707 Amiram Eldar, <a href="/A377707/a377707.txt">Table of n, a(n), A365171(a(n)) for n = 1..102</a>
%t A377707 f[p_, e_] := Floor[(e + 3)/4] + Floor[(e + 4)/4]; d[1] = 1; d[n_] := Times @@ f @@@ FactorInteger[n]; v = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {_, _}][[;; , 2]]; seq = {}; dm = 0; Do[If[(dk = d[v[[k]]]) > dm, dm = dk; AppendTo[seq, v[[k]]]], {k, 1, Length[v]}]; seq
%Y A377707 Cf. A365171.
%Y A377707 Subsequence of A025487.
%K A377707 nonn
%O A377707 1,2
%A A377707 _Amiram Eldar_, Nov 04 2024