A364249 Dirichlet inverse of A359374.

1, -1, 0, 1, -1, -1, -1, -1, 0, 1, -1, 2, -1, 1, 0, 1, -1, -1, -1, -1, 0, 1, -1, -3, 0, 1, 0, -1, -1, 1, -1, -1, 0, 1, 1, 3, -1, 1, 0, 1, -1, 1, -1, -1, 0, 1, -1, 4, 0, 0, 0, -1, -1, -1, 1, 1, 0, 1, -1, -2, -1, 1, 0, 1, 1, 1, -1, -1, 0, -1, -1, -6, -1, 1, 0, -1, 1, 1, -1, -1, 0, 1, -1, -2, 1, 1, 0, 1, -1, 1, 1, -1, 0, 1, 1, -5

Offset

1,12

Links

Antti Karttunen, Table of n, a(n) for n = 1..20000

Formula

a(1) = 1, and for n > 1, a(n) = -Sum_{d|n, d<n} A359374(n/d) * a(d).

Prog

(PARI)
A359374(n) = !(((n%2)&&!(n%3))||!(n%4));
memoA364249 = Map();
A364249(n) = if(1==n, 1, my(v); if(mapisdefined(memoA364249, n, &v), v, v = -sumdiv(n, d, if(d<n, A359374(n/d)*A364249(d), 0)); mapput(memoA364249, n, v); (v)));

Crossrefs

Cf. A359374, A364250 (read modulo 2).

Sequence in context: A360158 A329885 A085737 * A191904 A265892 A324966

Adjacent sequences: A364246 A364247 A364248 * A364250 A364251 A364252

Keyword

sign

Author

Antti Karttunen, Jul 17 2023

Status

approved