A359424 The least common multiple of the arithmetic derivative and the primorial base exp-function, reduced modulo 60.

0, 0, 3, 6, 36, 18, 5, 10, 0, 30, 15, 30, 40, 50, 45, 0, 0, 30, 45, 10, 0, 30, 45, 30, 20, 50, 15, 30, 0, 30, 37, 14, 0, 42, 57, 12, 0, 10, 45, 0, 0, 30, 35, 50, 0, 30, 15, 30, 20, 10, 15, 0, 0, 30, 15, 40, 0, 30, 45, 30, 8, 38, 57, 18, 24, 42, 5, 10, 0, 30, 15, 30, 0, 50, 15, 30, 0, 30, 55, 10, 0, 0, 15

Offset: 0

Author

Antti Karttunen, Jan 02 2023

Keywords

• nonn
• base
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 0..60060
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003415, A276086, A327858, A358669, A359423.

Cf. A016825 (positions of odd terms), A042965 (of even terms), A327864 (of multiples of 4).

Cf. also A358765.

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); };
A359423(n) = lcm(A003415(n), A276086(n));
A359424(n) = (A359423(n)%60);