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A093396
Denominators of n divided by the product of the anti-divisors of n.
3
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
3,1
COMMENTS
See A066272 for definition of anti-divisor.
LINKS
FORMULA
a(n) = A091507(n)/GCD(n, A091507(n))
EXAMPLE
The anti-divisors of 18 are 4, 5, 7, 12. Hence a(18) = 4*5*7*12/GCD(4*5*7*12, 18) = 280.
PROG
(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
CROSSREFS
Cf. A066417, A091507, A093394, A093395 (numerators).
Sequence in context: A319432 A115033 A214630 * A189971 A211605 A316610
KEYWORD
nonn,frac
AUTHOR
Lior Manor, Mar 28 2004
EXTENSIONS
Name changed by Franklin T. Adams-Watters, Aug 21 2013
STATUS
approved