A286613 a(n) = A046523(A244154(n)).

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

Offset: 0

Author

Antti Karttunen, May 30 2017

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16383

Crossrefs

Cf. A005940, A046523, A048673, A054429, A244154, A278224, A285713, A286614.

Programs

PARI

A003961(n) = my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); \\ This function from Michel Marcus
A048673(n) = (A003961(n)+1)/2;
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ Modified from code of M. F. Hasler
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ This function from Charles R Greathouse IV, Aug 17 2011
A286613(n) = A046523(A048673(A005940(1+n)));

Scheme

(define (A286613 n) (A046523 (A244154 n)))

Formula

a(n) = A046523(A244154(n)).

a(n) = A278224(A005940(1+n)) = A046523(A048673(A005940(1+n))).

a(n) = A285713(A054429(n)).