A324529 a(n) = lcm(sigma(n), pod(n)) where sigma(k) = the sum of divisors of k (A000203) and pod(n) = the product of divisors of k (A007955).

1, 6, 12, 56, 30, 36, 56, 960, 351, 900, 132, 12096, 182, 1176, 1800, 31744, 306, 75816, 380, 168000, 14112, 4356, 552, 1658880, 3875, 14196, 29160, 21952, 870, 810000, 992, 2064384, 17424, 31212, 58800, 917070336, 1406, 21660, 85176, 23040000, 1722, 6223392

Offset

1,2

Links

Table of n, a(n) for n=1..42.

Formula

a(n) = pod(n) for numbers n in A145551.

a(n) = sigma(n) * pod(n) for numbers n in A014567.

Example

For n=4: a(4) = lcm(sigma(4), pod(4)) = lcm(7, 8) = 56.

Prog

(Magma) [LCM(SumOfDivisors(n), &*[d: d in Divisors(n)]): n in [1.. 1000]]
(PARI) a(n) = my(d=divisors(n)); lcm(vecsum(d), vecprod(d)); \\ Michel Marcus, Mar 05 2019

Crossrefs

Cf. A000005, A000203, A014567, A145551.

Sequence in context: A290999 A094060 A341893 * A076722 A322288 A337739

Adjacent sequences: A324526 A324527 A324528 * A324530 A324531 A324532

Keyword

nonn

Author

Jaroslav Krizek, Mar 05 2019

Status

approved