A323896 Sum of binary Gray code A003188 and its Dirichlet inverse, A323895.

2, 0, 0, 9, 0, 12, 0, 9, 4, 42, 0, 0, 0, 24, 28, 27, 0, 62, 0, -15, 16, 84, 0, 33, 49, 66, 44, -6, 0, -74, 0, 45, 56, 150, 56, -4, 0, 156, 44, 123, 0, 118, 0, -36, 130, 168, 0, 24, 16, -105, 100, -27, 0, -62, 196, 69, 104, 114, 0, 230, 0, 96, 180, 99, 154, 46, 0, -69, 112, 42, 0, 186, 0, 330, -98, -72, 112, 118, 0, 39, 117, 366, 0, 47

Offset: 1

Author

Antti Karttunen, Feb 08 2019

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Crossrefs

Cf. A003188, A323895.

Cf. also A323365, A323412, A323885, A323887, A323894.

Programs

PARI

up_to = 65537;
DirInverse(v) = { my(u=vector(#v)); u[1] = (1/v[1]); for(n=2, #v, u[n] = -sumdiv(n, d, if(dA003188(n) = bitxor(n, n>>1);
v323895 = DirInverse(vector(up_to,n,A003188(n)));
A323895(n) = v323895[n];
A323896(n) = (A003188(n)+A323895(n));

Formula

a(n) = A003188(n) + A323895(n).