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

0,4

Links

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

Prog

(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);

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.

Sequence in context: A105176 A061937 A065804 * A328768 A275693 A135033

Adjacent sequences: A374120 A374121 A374122 * A374124 A374125 A374126

Keyword

nonn

Author

Antti Karttunen, Jun 30 2024

Status

approved