A285713 a(n) = A046523(A245612(n)).

1, 2, 2, 2, 6, 2, 8, 4, 2, 12, 6, 4, 2, 12, 2, 6, 6, 2, 12, 12, 2, 6, 6, 2, 12, 24, 2, 6, 32, 12, 2, 2, 6, 6, 30, 2, 2, 210, 6, 60, 12, 2, 48, 24, 6, 6, 30, 6, 6, 30, 2, 120, 6, 2, 12, 72, 6, 30, 2, 6, 12, 6, 12, 4, 6, 6, 48, 60, 6, 60, 6, 2, 24, 192, 6, 6, 24, 768, 2, 6, 2, 6, 6, 6, 2, 30, 6, 210, 6, 6, 12, 48, 6, 12, 6, 6, 96, 12, 6, 30, 12, 12, 2, 2, 6

Offset: 0

Author

Antti Karttunen, Apr 25 2017

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..8191

Crossrefs

Cf. A046523, A163511, A245612, A278224, A278531, A285712, A286613.

Cf. A305434 (rgs-transform).

Programs

PARI

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ From A003961
A048673(n) = (A003961(n)+1)/2;
A254049(n) = A048673((2*n)-1);
A245612(n) = if(n<2,1+n,if(!(n%2),(3*A245612(n/2))-1,A254049(A245612((n-1)/2))));
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
A285713(n) = A046523(A245612(n)); \\ Antti Karttunen, Jun 01 2018

Scheme

(define (A285713 n) (A046523 (A245612 n)))

Formula

a(n) = A046523(A245612(n)).

a(n) = A278224(A163511(n)).

a(n) = A286613(A054429(n)). - Antti Karttunen, Jun 01 2018