A305808 Dirichlet convolution of A032742 (the largest proper divisor of n) with itself.

1, 2, 2, 5, 2, 8, 2, 12, 7, 12, 2, 22, 2, 16, 12, 28, 2, 30, 2, 34, 16, 24, 2, 56, 11, 28, 24, 46, 2, 56, 2, 64, 24, 36, 16, 87, 2, 40, 28, 88, 2, 76, 2, 70, 46, 48, 2, 136, 15, 70, 36, 82, 2, 108, 24, 120, 40, 60, 2, 172, 2, 64, 62, 144, 28, 116, 2, 106, 48, 108, 2, 228, 2, 76, 70, 118, 24, 136, 2, 216, 81, 84, 2, 236, 36, 88, 60, 184, 2, 228, 28

Offset: 1

Author

Antti Karttunen, Jun 13 2018

Keywords

• nonn

Links

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

Crossrefs

Cf. A032742, A300236, A300239, A305807.

Programs

PARI

A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));
A305808(n) = sumdiv(n,d,A032742(n/d)*A032742(d));

Formula

a(n) = Sum_{d|n} A032742(n/d)*A032742(d).