A366887 Sum of the odd squarefree divisors permuted by A163511.

1, 1, 1, 4, 1, 4, 4, 6, 1, 4, 4, 6, 4, 24, 6, 8, 1, 4, 4, 6, 4, 24, 6, 8, 4, 24, 24, 48, 6, 32, 8, 12, 1, 4, 4, 6, 4, 24, 6, 8, 4, 24, 24, 48, 6, 32, 8, 12, 4, 24, 24, 48, 24, 192, 48, 96, 6, 32, 32, 72, 8, 48, 12, 14, 1, 4, 4, 6, 4, 24, 6, 8, 4, 24, 24, 48, 6, 32, 8, 12, 4, 24, 24, 48, 24, 192, 48, 96, 6, 32, 32, 72, 8

Offset: 0

Author

Antti Karttunen, Nov 04 2023

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16384

Crossrefs

Cf. A163511, A206787, A366888 (rgs-transform).

Programs

PARI

A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
A206787(n) = sumdiv(n, d, d*issquarefree(2*d));
A366887(n) = A206787(A163511(n));

Formula

a(n) = A206787(A163511(n)).