The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A083348 Numbers n such that r(n) = Sum(e/p: n=Product(p^e)) > 1. 6
 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 44, 48, 52, 54, 56, 60, 64, 68, 72, 76, 80, 81, 84, 88, 90, 92, 96, 100, 104, 108, 112, 116, 120, 124, 126, 128, 132, 135, 136, 140, 144, 148, 150, 152, 156, 160, 162, 164, 168, 172, 176, 180, 184, 188, 189, 192, 196, 198 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A083345(a(n)>A083346(a(n)); A083345(A051674(n))=A083346(A051674(n)), A083345(A083347(n)) < A083346(A083347(n)). Numbers n whose arithmetic derivative (A003415) is greater than n: n' > n. - Paolo P. Lava, Sep 22 2009 A168036(a(n)) > 0. - Reinhard Zumkeller, May 22 2015 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 FORMULA Numbers n such that n = n mod n', where n' is the arithmetic derivative of n. - Paolo P. Lava, Mar 20 2012 MAPLE with(numtheory); A083348:= proc(i) local a, b, n, p, pfs; for n from 2 to i do   pfs:=ifactors(n)[2]; a:=n*add(op(2, p)/op(1, p), p=pfs);   b:=(n mod a); if n=b then print(b); fi; od; end: A083348(1000); # Paolo P. Lava, Mar 20 2012 PROG (Haskell) a083348 n = a083348_list !! (n-1) a083348_list = filter ((> 0) . a168036) [1..] -- Reinhard Zumkeller, May 22 2015, May 10 2011 CROSSREFS Cf. A003415, A072873, A051674, A083347. Cf. A168036; subsequence of A100717. Sequence in context: A091375 A282671 A192991 * A174261 A063539 A253296 Adjacent sequences:  A083345 A083346 A083347 * A083349 A083350 A083351 KEYWORD nonn AUTHOR Reinhard Zumkeller, Apr 25 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 18:36 EDT 2021. Contains 347564 sequences. (Running on oeis4.)