A351231 Denominator of A003415(n) / A276086(n), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.

1, 1, 3, 6, 9, 18, 1, 10, 5, 5, 45, 90, 25, 50, 25, 75, 225, 450, 125, 250, 125, 75, 1125, 2250, 625, 125, 125, 1250, 5625, 11250, 7, 14, 21, 3, 63, 21, 7, 70, 5, 105, 315, 630, 175, 350, 175, 350, 63, 3150, 125, 125, 175, 525, 1125, 15750, 4375, 4375, 13125, 13125, 39375, 78750, 49, 98, 49, 98, 147, 49, 245, 490, 245

Offset: 0

Author

Antti Karttunen, Feb 05 2022

Keywords

• nonn
• base
• easy
• frac
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 0..11550
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003415, A276086, A327858, A351230 (numerators), A351232, A351233.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A351231(n) = denominator(A003415(n) / A276086(n));

Formula

a(n) = A276086(n) / A327858(n) = A276086(n) / gcd(A003415(n), A276086(n)).

a(n) = A276086(A351233(n)).