# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a328393 Showing 1-1 of 1 %I A328393 #6 Oct 19 2019 10:47:24 %S A328393 2,3,5,6,7,9,10,11,13,17,18,19,21,22,23,25,26,29,30,31,33,34,37,38,41, %T A328393 42,43,45,47,49,53,57,58,59,61,62,63,66,67,69,70,71,73,74,75,78,79,82, %U A328393 83,85,89,90,93,97,98,101,102,103,105,106,107,109,110,113,114,117,118,121,126,127,129,130,131,133,134,137,139,142 %N A328393 Numbers whose arithmetic derivative (A003415) is a squarefree number (A005117). %H A328393 Antti Karttunen, Table of n, a(n) for n = 1..10000 %o A328393 (PARI) %o A328393 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); %o A328393 isA328393(n) = issquarefree(A003415(n)); %Y A328393 Union of A000040 and A328234. Complement of A328303. %Y A328393 Cf. A005117, A008966, A003415. %Y A328393 Cf. A328252 (nonsquarefree terms), A157037, A192192, A327978 (other subsequences). %K A328393 nonn %O A328393 1,1 %A A328393 _Antti Karttunen_, Oct 19 2019 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE