A366885 Dedekind psi function applied to the odd part of n, permuted by A163511: a(n) = A347385(A163511(n)).

1, 1, 1, 4, 1, 12, 4, 6, 1, 36, 12, 30, 4, 24, 6, 8, 1, 108, 36, 150, 12, 120, 30, 56, 4, 72, 24, 48, 6, 32, 8, 12, 1, 324, 108, 750, 36, 600, 150, 392, 12, 360, 120, 336, 30, 224, 56, 132, 4, 216, 72, 240, 24, 192, 48, 96, 6, 96, 32, 72, 8, 48, 12, 14, 1, 972, 324, 3750, 108, 3000, 750, 2744, 36, 1800, 600, 2352

Offset: 0

Author

Antti Karttunen, Nov 04 2023

Keywords

• nonn

Links

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

Crossrefs

Cf. A001615, A163511, A347385, A366886 (rgs-transform).

Cf. also A324186.

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));
A347385(n) = if(1==n,n, my(f=factor(n>>valuation(n, 2))); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1)));
A366885(n) = A347385(A163511(n));