A093394 -id:A093394 - cp's OEIS frontend

A093396 Denominators of n divided by the product of the anti-divisors of n.

2, 3, 6, 2, 30, 15, 4, 42, 42, 10, 270, 54, 8, 33, 2310, 280, 78, 78, 8, 4050, 4050, 14, 1428, 102, 440, 6270, 114, 32, 7938, 257985, 520, 138, 552, 16, 11250, 866250, 616, 1458, 1458, 2720, 14790, 174, 131040, 16926, 17670, 190, 39204, 78408, 8, 2315250

Offset: 3

Lior Manor, Mar 28 2004

See A066272 for definition of anti-divisor.

			The anti-divisors of 18 are 4, 5, 7, 12. Hence a(18) = 4*5*7*12/GCD(4*5*7*12, 18) = 280.

Dumitru Damian, Table of n, a(n) for n = 3..10000

Cf. A066417, A091507, A093394, A093395 (numerators).

import numpy as np
from sympy.ntheory.factor_ import antidivisors
def a093396(k):
        return (m:=np.prod(antidivisors(k), dtype=object))//np.gcd(m,k, dtype=object)
{print(a093396(k), end = ', ') for k in range(3,10**2)} # Dumitru Damian, Oct 16 2023

a(n) = A091507(n)/GCD(n, A091507(n))

Name changed by Franklin T. Adams-Watters, Aug 21 2013

A093395 Numerators of n divided by the product of the anti-divisors of n.

Original entry on oeis.org

3, 4, 5, 3, 7, 8, 3, 5, 11, 3, 13, 7, 1, 16, 17, 3, 19, 5, 1, 11, 23, 3, 5, 13, 1, 7, 29, 1, 31, 32, 1, 17, 1, 3, 37, 19, 1, 5, 41, 1, 43, 11, 1, 23, 47, 3, 7, 5, 1, 13, 53, 1, 1, 7, 1, 29, 59, 1, 61, 31, 1, 64, 1, 1, 67, 17, 1, 1, 71, 3, 73, 37, 1, 19

Offset: 3

Lior Manor, Mar 28 2004

See A066272 for definition of anti-divisor.

			The anti-divisors of 18 are 4, 5, 7, 12. Hence a(18) = 18/GCD(4*5*7*12, 18) = 3.

Cf. A066417, A091507, A093394, A093396 (denominators).

a(n) = n/GCD(n, A091507(n)) = n/A093394(n)

Name changed by Franklin T. Adams-Watters, Aug 21 2013

cp's OEIS Frontend

A093396 Denominators of n divided by the product of the anti-divisors of n.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Python

Formula

Extensions