A346238 Sum of A005187 and its Dirichlet inverse.

2, 0, 0, 9, 0, 24, 0, 15, 16, 48, 0, 8, 0, 66, 64, 31, 0, 32, 0, 4, 88, 114, 0, 50, 64, 138, 64, 7, 0, -116, 0, 63, 152, 192, 176, 80, 0, 210, 184, 90, 0, -138, 0, -1, 80, 252, 0, 94, 121, -6, 256, -5, 0, 28, 304, 125, 280, 324, 0, 390, 0, 342, 136, 127, 368, -276, 0, -20, 336, -386, 0, 126, 0, 426, 24, -17, 418, -360, 0

Offset: 1

Author

Antti Karttunen, Jul 13 2021

Keywords

• sign

Links

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

Crossrefs

Cf. A005187, A346237.

Cf. also A300244.

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(dA005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
v346237 = DirInverseCorrect(vector(up_to,n,A005187(n)));
A346237(n) = v346237[n];
A346238(n) = (A005187(n)+A346237(n));

Formula

a(n) = A005187(n) + A346237(n).