A323072 a(n) = n/A323071(n) = n/gcd(n, 1+A060681(n)).

1, 1, 1, 4, 1, 3, 1, 8, 9, 5, 1, 12, 1, 7, 15, 16, 1, 9, 1, 20, 7, 11, 1, 24, 25, 13, 27, 28, 1, 15, 1, 32, 33, 17, 35, 36, 1, 19, 13, 40, 1, 21, 1, 44, 45, 23, 1, 48, 49, 25, 51, 52, 1, 27, 11, 56, 19, 29, 1, 60, 1, 31, 63, 64, 65, 33, 1, 68, 69, 35, 1, 72, 1, 37, 25, 76, 77, 39, 1, 80, 81, 41, 1, 84, 85, 43, 87, 88, 1, 45, 91, 92, 31, 47

Offset

1,4

Comments

Differs from A055032 at n = 55, 105, 155, ..., (A323070).

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..100000

Formula

a(n) = n/A323071(n) = n/gcd(n, 1+A060681(n)).

Prog

(PARI)
A060681(n) = (n-if(1==n, n, n/vecmin(factor(n)[, 1])));
A323071(n) = gcd(n, 1+A060681(n));
A323072(n) = (n/A323071(n));

Crossrefs

Cf. A055032, A060681, A323070, A323071.

Sequence in context: A326690 A353275 A340079 * A055032 A039930 A123251

Adjacent sequences: A323069 A323070 A323071 * A323073 A323074 A323075

Keyword

nonn

Author

Antti Karttunen, Jan 04 2019

Status

approved