A372576 a(n) = A276085(n) mod 360, where A276085 is the primorial base log-function.

0, 1, 2, 2, 6, 3, 30, 3, 4, 7, 210, 4, 150, 31, 8, 4, 150, 5, 30, 8, 32, 211, 210, 5, 12, 151, 6, 32, 150, 9, 30, 5, 212, 151, 36, 6, 210, 31, 152, 9, 210, 33, 330, 212, 10, 211, 150, 6, 60, 13, 152, 152, 210, 7, 216, 33, 32, 151, 330, 10, 30, 31, 34, 6, 156, 213, 30, 152, 212, 37, 210, 7, 150, 211, 14, 32, 240

Offset: 1

Author

Antti Karttunen, May 25 2024

Keywords

• nonn

Comments

Completely additive modulo 360.

On average, every third term is a multiple of 4. See A369001.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Index entries for sequences related to primorial numbers

Crossrefs

Cf. A002110, A276085.

Cf. A003159 (positions of even terms), A036554 (of odd terms), A035263, A096268 (parity of terms), A369001, A369002 (positions of multiples of 4).

Programs

PARI

A002110(n) = prod(i=1,n,prime(i));
A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*A002110(primepi(f[k, 1])-1)); };
A372576(n) = (A276085(n)%360);