A339810 a(n) = A046523(A019565(n) - 1).

1, 2, 2, 4, 4, 6, 2, 6, 2, 12, 2, 6, 6, 24, 6, 6, 6, 32, 6, 24, 2, 12, 6, 12, 12, 30, 2, 384, 2, 6, 2, 12, 4, 6, 6, 64, 6, 6, 2, 60, 2, 48, 6, 6, 12, 60, 2, 6, 30, 12, 2, 210, 2, 96, 2, 216, 30, 30, 6, 180, 2, 6, 2, 16, 6, 12, 2, 60, 4, 6, 2, 6, 6, 12, 6, 120, 6, 24, 6, 30, 2, 240, 6, 6, 30, 12, 6, 60, 2, 30, 2, 48

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(n) = A046523(A339809(n)) = A046523(A019565(n) - 1).

Prog

(PARI)
A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523
A339810(n) = A046523(A019565(n)-1);

Crossrefs

Cf. A019565, A046523, A339809, A339811 (rgs-transform), A339812.

Sequence in context: A203555 A096197 A097264 * A324104 A278233 A354753

Adjacent sequences: A339807 A339808 A339809 * A339811 A339812 A339813

Keyword

nonn

Author

Antti Karttunen, Dec 18 2020

Status

approved