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Integers in the list of quotients of positive integers by their product of prime indices.
17

%I #7 Mar 22 2019 00:32:31

%S 1,2,4,3,8,6,16,12,7,5,32,9,24,14,10,64,18,48,28,20,128,36,19,13,21,

%T 15,96,27,56,40,256,72,38,26,11,42,30,192,54,112,17,80,512,144,76,52,

%U 22,84,60,384,49,23,35,53,108,37,224,25,57,39,34,160,63,1024

%N Integers in the list of quotients of positive integers by their product of prime indices.

%C These quotients are given by A324932(n)/A324933(n).

%C This is a permutation of the positive integers, with inverse A324934.

%F a(n) = A324850(n)/A003963(A324850(n)).

%e The sequence of quotients n/A003963(n) begins: 1, 2, 3/2, 4, 5/3, 3, 7/4, 8, 9/4, 10/3, 11/5, 6, 13/6, 7/2, 5/2, 16, ...

%t Select[Table[n/Times@@Cases[If[n==1,{},FactorInteger[n]],{p_,k_}:>PrimePi[p]^k],{n,100}],IntegerQ]

%Y Cf. A003963, A109129, A120383, A196050, A324846, A324849, A324850, A324922, A324923, A324924, A324925, A324934.

%K nonn

%O 1,2

%A _Gus Wiseman_, Mar 21 2019