A353275 a(n) = n / gcd(n, A353272(n)).

1, 1, 1, 4, 1, 3, 1, 8, 9, 5, 1, 12, 1, 7, 5, 16, 1, 9, 1, 4, 7, 11, 1, 24, 25, 13, 27, 4, 1, 15, 1, 32, 11, 17, 7, 36, 1, 19, 13, 8, 1, 7, 1, 4, 45, 23, 1, 16, 49, 25, 17, 4, 1, 27, 11, 8, 19, 29, 1, 60, 1, 31, 9, 64, 13, 33, 1, 4, 23, 35, 1, 72, 1, 37, 25, 4, 11, 39, 1, 16, 81, 41, 1, 84, 17, 43, 29, 8, 1, 45, 13

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = n / A353274(n) = n / gcd(n, A353272(n)).

Prog

(PARI)
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); (t); };
A156552(n) = { my(f = factor(n), p, p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res };
A332449(n) = A005940(1+(3*A156552(n)));
A353275(n) = { my(u=A332449(n)); (n / gcd(n, (u / gcd(n, u)))); };

Crossrefs

Cf. A332449, A353272, A353273, A353274.

Sequence in context: A010127 A263022 A326690 * A340079 A323072 A055032

Adjacent sequences: A353272 A353273 A353274 * A353276 A353277 A353278

Keyword

nonn,less

Author

Antti Karttunen, Apr 10 2022

Status

approved