Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Nov 14 2019 09:40:15
%S 2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,
%T 31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,
%U 56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80
%N Numbers having the sum of distinct prime factors greater than the sum of exponents in prime factorization, A008472(n)>A001222(n).
%H Amiram Eldar, <a href="/A068938/b068938.txt">Table of n, a(n) for n = 1..10000</a>
%e 12 is included because 12 = 2^2 * 3^1 and 2+3 > 2+1.
%t sdfQ[n_]:=Module[{fi=Transpose[FactorInteger[n]]},Total[fi[[1]]] > Total[ fi[[2]]]]; Select[Range[80],sdfQ] (* _Harvey P. Dale_, Jul 23 2013 *)
%Y Cf. A068935, A068936, A054411, A068937.
%K nonn
%O 1,1
%A _Reinhard Zumkeller_, Mar 08 2002
%E More terms from _David Wasserman_, Jun 17 2002