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.

A348656 Numbers with record values of the denominator of the harmonic mean of their unitary divisors.

This page as a plain text file.
%I A348656 #12 Oct 28 2021 10:01:30
%S A348656 1,2,4,8,16,26,32,50,58,64,98,106,122,128,178,194,202,218,226,242,250,
%T A348656 256,346,362,386,394,458,466,482,512,698,706,722,746,778,794,802,818,
%U A348656 842,866,898,914,922,1018,1024,1402,1418,1466,1514,1522,1538,1546,1594,1618
%N A348656 Numbers with record values of the denominator of the harmonic mean of their unitary divisors.
%C A348656 The corresponding record values are 1, 3, 5, 9, 17, 21, 33, 39, 45, 65, 75, ... (see the link for more values).
%H A348656 Amiram Eldar, <a href="/A348656/b348656.txt">Table of n, a(n) for n = 1..10000</a>
%H A348656 Amiram Eldar, <a href="/A348656/a348656.txt">Table of n, a(n), A103340(a(n)) for n = 1..10000</a>
%e A348656 The first 8 terms of A103340 are 1, 3, 2, 5, 3, 1, 4 and 9. The record values, 1, 3, 5 and 9, occur at 1, 2, 4 and 8, the first 4 terms of this sequence.
%t A348656 f[p_, e_] := 2/(1 + p^(-e)); d[n_] := Denominator[Times @@ f @@@ FactorInteger[n]]; dm = 0; s = {}; Do[dn = d[n]; If[dn > dm, dm = dn; AppendTo[s, n]], {n, 1, 1000}]; s
%Y A348656 The unitary version of A348414.
%Y A348656 Cf. A103339, A103340.
%K A348656 nonn
%O A348656 1,2
%A A348656 _Amiram Eldar_, Oct 28 2021