

A295102


Squarefree numbers n that are sqrt(n)smooth: if prime pn then p^2 <= n.


2



1, 30, 70, 105, 154, 165, 182, 195, 210, 231, 273, 286, 330, 357, 374, 385, 390, 399, 418, 429, 442, 455, 462, 494, 510, 546, 561, 570, 595, 598, 627, 646, 663, 665, 690, 714, 715, 741, 759, 770, 782, 798, 805, 858, 870, 874, 897, 910, 935, 957, 966, 969
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OFFSET

1,2


COMMENTS

If n is in the sequence and m < n is squarefree and coprime to n, then m*n is in the sequence.  Robert Israel, Aug 12 2019


LINKS

Robert Israel, Table of n, a(n) for n = 1..10000


MAPLE

filter:= proc(n) local t;
andmap(t > t[2]=1 and t[1]^2<=n, ifactors(n)[2])
end proc:
select(filter, [$1..1000]); # Robert Israel, Aug 12 2019


PROG

(PARI) isok(n) = (n==1)  (issquarefree(n) && (vecmax(factor(n)[, 1])^2 < n)); \\ Michel Marcus, Aug 12 2019


CROSSREFS

Squarefree terms of A048098, and also of A063539.
Besides initial 1, subsequence of A164596.
Together with A001248, forms indices of records in A295101.
Cf. A005117.
Sequence in context: A182996 A325378 A164596 * A131647 A301900 A071141
Adjacent sequences: A295099 A295100 A295101 * A295103 A295104 A295105


KEYWORD

nonn


AUTHOR

Max Alekseyev, Nov 14 2017


STATUS

approved



