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A359424
The least common multiple of the arithmetic derivative and the primorial base exp-function, reduced modulo 60.
2
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
0,3
PROG
(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);
CROSSREFS
Cf. A016825 (positions of odd terms), A042965 (of even terms), A327864 (of multiples of 4).
Cf. also A358765.
Sequence in context: A009197 A205336 A184390 * A359423 A358765 A358669
KEYWORD
nonn,base,look
AUTHOR
Antti Karttunen, Jan 02 2023
STATUS
approved