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.

A380459 a(n) = Product_{d|n} A276086(d)^A349394(n/d).

This page as a plain text file.
%I A380459 #7 Jan 31 2025 21:12:15
%S A380459 1,2,2,12,2,18,2,1296,48,54,2,1620,2,30,108,25194240,2,4050,2,131220,
%T A380459 60,270,2,12150000,576,150,3317760,67500,2,33750,2,142818689064960000,
%U A380459 540,1350,180,2050312500,2,750,300,1195742250000,2,281250,2,82012500,26244000,6750,2,92264062500000000,1280,13668750,2700,42187500,2
%N A380459 a(n) = Product_{d|n} A276086(d)^A349394(n/d).
%H A380459 Antti Karttunen, <a href="/A380459/b380459.txt">Table of n, a(n) for n = 1..2047</a>
%H A380459 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.
%F A380459 For n >= 1, A276085(a(n)) = A003415(n).
%o A380459 (PARI)
%o A380459 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A380459 A349394(n) = { my(p=0, e); if((e=isprimepower(n, &p)), p^(e-1), 0); };
%o A380459 A380459(n) = { my(m=1); fordiv(n, d, m *= A276086(d)^A349394(n/d)); (m); };
%Y A380459 Cf. A003415, A276085, A276086, A349394, A380460 (rgs-transform).
%Y A380459 Cf. also A329350, A329380.
%K A380459 nonn
%O A380459 1,2
%A A380459 _Antti Karttunen_, Jan 31 2025