A305796 Dirichlet convolution of A246277 with itself.

0, 0, 0, 1, 0, 2, 0, 4, 1, 2, 0, 10, 0, 2, 2, 12, 0, 10, 0, 14, 2, 2, 0, 32, 1, 2, 4, 18, 0, 22, 0, 32, 2, 2, 2, 47, 0, 2, 2, 48, 0, 30, 0, 26, 10, 2, 0, 88, 1, 14, 2, 30, 0, 38, 2, 64, 2, 2, 0, 104, 0, 2, 14, 80, 2, 42, 0, 38, 2, 30, 0, 148, 0, 2, 10, 42, 2, 54, 0, 136, 12, 2, 0, 144, 2, 2, 2, 96, 0, 98, 2, 50, 2, 2, 2, 224, 0, 18, 18, 103, 0, 66, 0, 112, 22

Offset: 1

Author

Antti Karttunen, Jun 13 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537

Crossrefs

Cf. A246277, A305791, A305798.

Programs

PARI

A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};
A246277(n) = { if(1==n, 0, while((n%2), n = A064989(n)); (n/2)); };
A305796(n) = sumdiv(n,d,A246277(d)*A246277(n/d));

Formula

a(n) = Sum_{d|n} A246277(d)*A246277(n/d).