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A342417 Dirichlet inverse of A342002. 4
1, -1, -5, -1, -7, 9, -7, -5, -6, 1, -41, 5, -9, 3, 33, -1, -47, -6, -11, 19, 27, 63, -53, 41, 36, 1, 136, 7, -59, 7, -9, 25, 369, 77, 43, 16, -59, -49, -157, -9, -317, -19, -73, -13, -10, -21, -359, -53, -38, -52, 139, -105, -401, -348, 473, -23, -263, -51, -443, -201, -11, 5, 292, 23, 65, -893, -69, -5, 253, 31 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..11550

PROG

(PARI)

up_to = 11550;

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.

A342002(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= p^(e>0); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };

v342417 = DirInverseCorrect(vector(up_to, n, A342002(n)));

A342417(n) = v342417[n];

CROSSREFS

Cf. A342002, A342419.

Sequence in context: A100122 A001945 A342921 * A233091 A286941 A332459

Adjacent sequences:  A342414 A342415 A342416 * A342418 A342419 A342420

KEYWORD

sign

AUTHOR

Antti Karttunen, Mar 13 2021

STATUS

approved

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Last modified December 4 09:43 EST 2021. Contains 349485 sequences. (Running on oeis4.)