A364257 Dirichlet inverse of A364255.

1, -2, -3, 0, -1, 6, -1, 0, 0, 2, -1, 0, -1, 2, 5, 0, -1, 0, -1, 0, 3, 2, -1, 0, -4, 2, 26, 0, -1, -10, -1, 0, 3, 2, -3, 0, -1, 2, 5, 0, -1, -6, -1, 0, -6, 2, -1, 0, 0, 8, 5, 0, -1, -52, -9, 0, 3, 2, -1, 0, -1, 2, 8, 0, 1, -6, -1, 0, 3, 6, -1, 0, -1, 2, 18, 0, -5, -10, -1, 0, -102, 2, -1, 0, -3, 2, 5, 0, -1, 12

Offset: 1

Author

Antti Karttunen, Jul 17 2023

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A163511, A364255.

Cf. A323239 (read modulo 2).

Programs

PARI

\\ Needs also code from A364255:
memoA364257 = Map();
A364257(n) = if(1==n,1,my(v); if(mapisdefined(memoA364257,n,&v), v, v = -sumdiv(n,d,if(dA364255(n/d)*A364257(d),0)); mapput(memoA364257,n,v); (v)));

Formula

a(1) = 1, and for n > 1, a(n) = -Sum_{d|n, dA364255(n/d) * a(d).