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A333535 Card{ k<=n, k such that all prime divisors of k are < sqrt(k) }. 6
0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 21, 22, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..65536

MAPLE

a:=[];

for n from 1 to 100 do

   c:=0;

   for m from 1 to n do

      if A006530(m)^2 < m then c:=c+1; fi; od:

a:=[op(a), c];

od:

a;

# second Maple program:

a:= proc(n) option remember; `if`(n<2, 0, a(n-1)+

      `if`(max(map(i-> i[1], ifactors(n)[2]))^2<n, 1, 0))

    end:

seq(a(n), n=1..100);  # Alois P. Heinz, Apr 10 2020

CROSSREFS

The following are all different versions of sqrt(n)-smooth numbers: A048098, A063539, A064775, A295084, A333535, A333536.

Sequence in context: A087866 A061392 A048273 * A175387 A024542 A209082

Adjacent sequences:  A333532 A333533 A333534 * A333536 A333537 A333538

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 10 2020

STATUS

approved

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Last modified August 11 03:22 EDT 2020. Contains 336421 sequences. (Running on oeis4.)