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Denominator of sigma(n) / A276086(n), where A276086 is the primorial base exp-function.
2

%I #9 Jan 25 2024 16:39:10

%S 2,1,3,9,3,5,5,1,30,5,15,25,25,25,25,225,25,125,25,125,375,125,375,

%T 125,1250,625,375,5625,375,7,7,1,7,7,21,5,35,7,15,7,15,175,175,25,175,

%U 175,525,875,1750,875,875,1125,875,875,4375,875,2625,875,2625,7,49,49,147,441,21,245,245,35,245,245,245,245,1225

%N Denominator of sigma(n) / A276086(n), where A276086 is the primorial base exp-function.

%H Antti Karttunen, <a href="/A369446/b369446.txt">Table of n, a(n) for n = 1..16384</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%F a(n) = A276086(n) / A324644(n).

%o (PARI)

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A369446(n) = { my(u=A276086(n)); (u/gcd(u,sigma(n))); };

%Y Cf. A000203, A276086, A324644, A369445 (numerators).

%K nonn,frac

%O 1,1

%A _Antti Karttunen_, Jan 25 2024