A244670 Product of divisors of n / sum of divisors of n for n such that product of divisors of n is divisible by sum of divisors of n.

1, 3, 392, 11250, 131769, 1568294784, 501126, 119439360000000, 6566468639062500, 39226324511250000, 15780962, 162778775259375000, 2966827112704, 22417760034702144000000000000, 1801703513076518898, 30261936128, 3531477204506250000, 5876813016539072244

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = A007955(A145551(n)) / A000203(A145551(n)) = A244668(A145551(n)).

Example

For n = 4; A145551(4) = 30; A244668(30) = 11250.

Prog

(Magma)[Numerator((&*[d: d in Divisors(n)]) / (&+[d: d in Divisors(n)])): n in [1..10000] | Denominator((&*[d: d in Divisors(n)]) / (&+[d: d in Divisors(n)])) eq 1]

Crossrefs

Cf. A007955, A000203, A145551, A244668, A244669.

Sequence in context: A193154 A120061 A187942 * A199146 A137023 A203563

Adjacent sequences: A244667 A244668 A244669 * A244671 A244672 A244673

Keyword

nonn

Author

Jaroslav Krizek, Jul 04 2014

Status

approved