A334809 a(n) = Product_{d|n} lcm(sigma(d), pod(d)) where sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).
1, 6, 12, 336, 30, 2592, 56, 322560, 4212, 162000, 132, 1755758592, 182, 395136, 648000, 10239344640, 306, 68976790272, 380, 1524096000000, 9483264, 3449952, 552, 2796089100573081600, 116250, 15502032, 122821920, 485745426432, 870, 102036672000000000, 992
Offset: 1
Keywords
Examples
a(6) = lcm(sigma(1), pod(1)) * lcm(sigma(2), pod(2)) * lcm(sigma(3), pod(3)) * lcm(sigma(6), pod(6)) = lcm(1, 1) * lcm(3, 2) * lcm(4, 3) * lcm(12, 36) = 1 * 6 * 12 * 36 = 2592.
Crossrefs
Programs
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Magma
[&*[LCM(&+Divisors(d), &*Divisors(d)): d in Divisors(n)]: n in [1..100]]
Formula
a(p) = p^2 + p for p = primes (A000040).