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
Examples
The anti-divisors of 18 are 4, 5, 7, 12. Hence a(18) = 4*5*7*12/GCD(4*5*7*12, 18) = 280.
Links
- Dumitru Damian, Table of n, a(n) for n = 3..10000
Programs
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Python
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
Extensions
Name changed by Franklin T. Adams-Watters, Aug 21 2013
Comments