A293376 Corresponding values of pod(n)/tau(n) of numbers n from A120736.

1, 1, 9, 16, 9, 25, 288, 49, 972, 121, 41472, 169, 101250, 289, 1119744, 361, 320000, 388962, 529, 1062882, 1229312, 841, 3888000000, 961, 2371842, 3001250, 11609505792, 1369, 4626882, 327680000, 1681, 29274835968, 1849, 7496192, 44286750000, 2209, 65229815808

Offset

1,3

Comments

Integer of pod(n)/tau(n) of numbers n such that tau(n) = the number of the divisors of n (A000005) divides pod(n) = the product of the divisors of n (A007955).

Links

Jaroslav Krizek, Table of n, a(n) for n = 1..1000

Formula

a(n) = A291186(A120736(n))/A137927(A120736(n)).

Example

For n = 3; A120736(3) = 6; pod(6)/tau(6) = 36/4 = 9.

Mathematica

(Times @@ #)/Length@ # &@ Divisors@ # & /@ Select[Range@ 100, Divisible[Times @@ Divisors@ #, DivisorSigma[0, #]] &] (* Michael De Vlieger, Oct 10 2017 *)

Prog

(Magma) [Numerator(&*[d: d in Divisors(n)] / #[d: d in Divisors(n)]): n in [1..1000] | Denominator(&*[d: d in Divisors(n)] / #[d: d in Divisors(n)]) eq 1]

Crossrefs

Cf. A000005, A007955, A120736, A137927, A291186.

Sequence in context: A215418 A133816 A048752 * A169999 A110151 A131746

Adjacent sequences: A293373 A293374 A293375 * A293377 A293378 A293379

Keyword

nonn

Author

Jaroslav Krizek, Oct 07 2017

Status

approved