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

Author

Jaroslav Krizek, Oct 07 2017

Keywords

• nonn

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).

Examples

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

Links

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

Crossrefs

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

Programs

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];

Mathematica

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

Formula

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