A346243 Sum of A324198 and its Dirichlet inverse.

2, 0, 0, 1, 0, 6, 0, 1, 9, 2, 0, -1, 0, 2, 6, 1, 0, -15, 0, 9, 6, 2, 0, 1, 1, 2, -9, 1, 0, 44, 0, 1, 6, 2, 2, 15, 0, 2, 6, 5, 0, -4, 0, 1, 69, 2, 0, 1, 1, 57, 6, 1, 0, 45, 2, 1, 6, 2, 0, -49, 0, 2, -3, 1, 2, -4, 0, 1, 6, 20, 0, -3, 0, 2, 171, 1, 2, -4, 0, 5, 27, 2, 0, 15, 2, 2, 6, 1, 0, -235, 2, 1, 6, 2, 2, 1, 0, 13

Offset: 1

Author

Antti Karttunen, Jul 13 2021

Keywords

• sign
• base

Links

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

Crossrefs

Cf. A276086, A324198, A346242.

Programs

PARI

up_to = 65537;
DirInverseCorrect(v) = { my(u=vector(#v)); u[1] = (1/v[1]); for(n=2, #v, u[n] = (-u[1]*sumdiv(n, d, if(dA324198(n) = { my(m=1, p=2, orgn=n); while(n, m *= (p^min(n%p, valuation(orgn, p))); n = n\p; p = nextprime(1+p)); (m); };
v346242 = DirInverseCorrect(vector(up_to,n,A324198(n)));
A346242(n) = v346242[n];
A346243(n) = (A324198(n)+A346242(n));

Formula

a(n) = A324198(n) + A346242(n).