|
|
A307892
|
|
a(n) = lcm(tau(n), pod(n)) / n, where tau(k) = the number of divisors of k (A000005) and pod(n) = the product of divisors of k (A007955).
|
|
0
|
|
|
1, 1, 2, 6, 2, 6, 2, 8, 3, 10, 2, 144, 2, 14, 60, 320, 2, 324, 2, 1200, 84, 22, 2, 13824, 15, 26, 108, 2352, 2, 27000, 2, 3072, 132, 34, 140, 279936, 2, 38, 156, 64000, 2, 74088, 2, 5808, 4050, 46, 2, 26542080, 21, 7500, 204, 8112, 2, 157464, 220, 175616, 228
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
n divides lcm(tau(n), pod(n)) for all n >= 1.
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
For n=4: a(4) = lcm(tau(4), pod(4))/4 = lcm(3, 8)/4 = 24/4 = 6.
|
|
PROG
|
(Magma) [LCM(NumberOfDivisors(n), &*[d: d in Divisors(n)]) / n: n in [1.. 10^5]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|