

A304776


A weakening function. a(n) = n / A007947(n)^(A051904(n)  1) where A007947 is squarefree kernel and A051904 is minimum prime exponent.


0



1, 2, 3, 2, 5, 6, 7, 2, 3, 10, 11, 12, 13, 14, 15, 2, 17, 18, 19, 20, 21, 22, 23, 24, 5, 26, 3, 28, 29, 30, 31, 2, 33, 34, 35, 6, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 7, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2, 65, 66, 67, 68, 69, 70, 71, 12
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OFFSET

1,2


COMMENTS

This function takes powerful numbers (A001694) to weak numbers (A052485) and leaves weak numbers unchanged.
First differs from A052410 at a(72) = 12, A052410(72) = 72.


LINKS

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


MATHEMATICA

spr[n_]:=Module[{f, m}, f=FactorInteger[n]; m=Min[Last/@f]; n/Times@@First/@f^(m1)];
Array[spr, 100]


CROSSREFS

Cf. A001597, A001694, A005117, A007947, A013929, A047966, A051903, A051904, A052485, A062759, A066636, A066638, A072774, A304768.
Sequence in context: A166140 A019555 A243074 * A052410 A327501 A175781
Adjacent sequences: A304773 A304774 A304775 * A304777 A304778 A304779


KEYWORD

nonn


AUTHOR

Gus Wiseman, May 18 2018


STATUS

approved



