A374123 a(n) = A328768(n) mod 360, where A328768 is the first primorial based variant of the arithmetic derivative.

0, 0, 1, 2, 4, 6, 7, 30, 12, 12, 17, 210, 20, 150, 67, 28, 32, 150, 33, 30, 44, 104, 71, 210, 52, 60, 313, 54, 148, 150, 71, 30, 80, 292, 317, 192, 84, 210, 79, 116, 108, 210, 229, 330, 164, 114, 83, 150, 128, 60, 145, 124, 292, 210, 135, 36, 324, 128, 329, 330, 172, 30, 91, 354, 192, 108, 257, 30, 308, 316, 59, 210

Offset: 0

Author

Antti Karttunen, Jun 30 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16384

Crossrefs

Cf. A002110, A328768.

Cf. A042965 (indices of even terms), A016825 (of odd terms), A152822 (antiparity of terms), A373992 (indices of multiples of 3).

Cf. also A372576, A374124, A374125.

Programs

PARI

A002110(n) = prod(i=1,n,prime(i));
A328768(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]*A002110(primepi(f[i,1])-1)/f[i, 1]));
A374123(n) = (A328768(n)%360);