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

0,3

Links

Antti Karttunen, Table of n, a(n) for n = 0..60060

Index entries for sequences related to primorial base

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. A003415, A276086, A327858, A358669, A359423.

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

Adjacent sequences: A359421 A359422 A359423 * A359425 A359426 A359427

Keyword

nonn,base,look

Author

Antti Karttunen, Jan 02 2023

Status

approved