A335881 a(n) = max(A329697(n), A331410(n)).

0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 3, 0, 3, 2, 3, 2, 3, 2, 3, 1, 4, 2, 3, 2, 4, 3, 3, 0, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 4, 2, 4, 3, 4, 1, 4, 4, 4, 2, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 4, 0, 4, 3, 4, 3, 4, 3, 4, 2, 5, 4, 5, 3, 4, 3, 4, 2, 4, 3, 3, 3, 5, 4, 5, 2, 5, 4, 4, 3, 4, 4, 5, 1, 3, 4, 4, 4, 5, 4, 3, 2, 4

Offset: 1

Author

Antti Karttunen, Jun 29 2020

Keywords

• nonn

Links

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

Crossrefs

Cf. A329697, A331410, A335875, A335877, A335884, A335885, A335904.

Cf. A329662 (apparently the positions of records).

Programs

PARI

A329697(n) = { my(f=factor(n)); sum(k=1,#f~,if(2==f[k,1],0,f[k,2]*(1+A329697(f[k,1]-1)))); };
A331410(n) = { my(f=factor(n)); sum(k=1,#f~,if(2==f[k,1],0,f[k,2]*(1+A331410(f[k,1]+1)))); };
A335881(n) = max(A329697(n),A331410(n));

Formula

a(n) = max(A329697(n), A331410(n)).

For all n >= 1, A335904(n) >= A335884(n) >= a(n) >= A335875(n) >= A335885(n).