

A309806


Values of k in kimperfect numbers.


2



1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
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OFFSET

1,2


COMMENTS

The value of k in kimperfect numbers, A127724. Except for the first term, all terms are > 1.
It appears that the first instance of a(n)=4 is for n=98 (993803899780063855042560), while no integer is currently known to be 5imperfect.  Michel Marcus, Aug 20 2019


LINKS

Table of n, a(n) for n=1..50.
Michel Marcus, PARI script


EXAMPLE

The first 3 terms of A127724 are 1, 2, and 6, that are respectively 1, 2, and 3imperfect. So the first 3 terms of this sequence are 1, 2 and 3.


PROG

(PARI) lista(lim) = {my(v = []); for (i=1, 4, my(vi = solveIMP(1, i, lim)); v = concat (v, vi); ); apply(x>x/rhon(x), vecsort(v)); } \\ uses the script in links section
lista(10^24) \\ to get 98 terms; Michel Marcus, Aug 20 2019


CROSSREFS

Cf. A127724, A127725 (2imperfect), A127726 (3imperfect).
Sequence in context: A281976 A300708 A240755 * A256170 A051686 A079294
Adjacent sequences: A309803 A309804 A309805 * A309808 A309809 A309810


KEYWORD

nonn,more


AUTHOR

Jud McCranie, Aug 17 2019


EXTENSIONS

a(45)a(50) from Giovanni Resta, Aug 19 2019


STATUS

approved



