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.

A307892 a(n) = lcm(tau(n), pod(n)) / n, where tau(k) = the number of divisors of k (A000005) and pod(n) = the product of divisors of k (A007955).

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%I A307892 #16 Sep 23 2024 10:13:56
%S A307892 1,1,2,6,2,6,2,8,3,10,2,144,2,14,60,320,2,324,2,1200,84,22,2,13824,15,
%T A307892 26,108,2352,2,27000,2,3072,132,34,140,279936,2,38,156,64000,2,74088,
%U A307892 2,5808,4050,46,2,26542080,21,7500,204,8112,2,157464,220,175616,228
%N A307892 a(n) = lcm(tau(n), pod(n)) / n, where tau(k) = the number of divisors of k (A000005) and pod(n) = the product of divisors of k (A007955).
%C A307892 n divides lcm(tau(n), pod(n)) for all n >= 1.
%H A307892 Harvey P. Dale, <a href="/A307892/b307892.txt">Table of n, a(n) for n = 1..1000</a>
%F A307892 a(n) = A324528(n) / n.
%e A307892 For n=4: a(4) = lcm(tau(4), pod(4))/4 = lcm(3, 8)/4 = 24/4 = 6.
%t A307892 Table[(LCM[DivisorSigma[0,n],Times@@Divisors[n]])/n,{n,60}] (* _Harvey P. Dale_, Sep 22 2024 *)
%o A307892 (Magma) [LCM(NumberOfDivisors(n), &*[d: d in Divisors(n)]) / n: n in [1.. 10^5]];
%Y A307892 Cf. A000005, A007955, A324528.
%K A307892 nonn
%O A307892 1,3
%A A307892 _Jaroslav Krizek_, May 03 2019