A373984 a(n) = A108951(n) - A373158(n), where A108951 is fully multiplicative and A373158 is fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x).

1, 0, 0, 0, 0, 4, 0, 2, 24, 28, 0, 14, 0, 208, 144, 8, 0, 58, 0, 86, 1044, 2308, 0, 36, 840, 30028, 198, 626, 0, 322, 0, 22, 11544, 510508, 6060, 128, 0, 9699688, 150144, 204, 0, 2302, 0, 6926, 1038, 223092868, 0, 82, 43680, 1738, 2552544, 90086, 0, 412, 66960, 1464, 48498444, 6469693228, 0, 680, 0, 200560490128

Offset: 1

Author

Antti Karttunen, Jun 25 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..4096
• Index entries for sequences related to primorial numbers

Crossrefs

Cf. A002110, A034386, A108951, A373158, A373985.

Programs

PARI

A373984(n) = { my(f=factor(n),m=1,s=0); for(i=1, #f~, my(x=prod(i=1,primepi(f[i, 1]),prime(i))); s += f[i, 2]*x; m *= x^f[i, 2]); (m-s); };