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A293376 Corresponding values of pod(n)/tau(n) of numbers n from A120736. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A093595 A215418 A133816 * A169999 A110151 A131746

Adjacent sequences:  A293373 A293374 A293375 * A293377 A293378 A293379

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Oct 07 2017

STATUS

approved

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Last modified February 17 12:10 EST 2019. Contains 320219 sequences. (Running on oeis4.)