

A175084


Possible values for product of perfect divisors of n.


4



1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Perfect divisor of n is divisor d such that d^k = n for some k >= 1. All terms of this sequence occur only once. See A089723 (number of perfect divisors of n) and A175068 (product of perfect divisors of n).
Complement of A175085.  Jaroslav Krizek, Jan 30 2010


LINKS

Table of n, a(n) for n=1..72.


MATHEMATICA

With[{nn = 78}, TakeWhile[#, # <= nn &] &@ Union@ Table[Apply[Times, Select[Divisors@ n, Or[# == 1, #^IntegerExponent[n, #] == n] &]], {n, nn}] ] (* Michael De Vlieger, Nov 21 2017 *)


CROSSREFS

Cf. A175087 (characteristic function).
Sequence in context: A031975 A028729 A213367 * A171519 A072099 A046841
Adjacent sequences: A175081 A175082 A175083 * A175085 A175086 A175087


KEYWORD

nonn


AUTHOR

Jaroslav Krizek, Jan 24 2010


STATUS

approved



