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

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to primorial base

Formula

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

Prog

(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(d<n, v[n/d]*u[d], 0)))); (u) }; \\ Compute the Dirichlet inverse of the sequence given in input vector v.
A324198(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));

Crossrefs

Cf. A276086, A324198, A346242.

Sequence in context: A339274 A335156 A158785 * A349916 A349342 A365712

Adjacent sequences: A346240 A346241 A346242 * A346244 A346245 A346246

Keyword

sign,base

Author

Antti Karttunen, Jul 13 2021

Status

approved