The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A185642 Nearest integer to average of distinct prime factors of n. 2
 2, 3, 2, 5, 3, 7, 2, 3, 4, 11, 3, 13, 5, 4, 2, 17, 3, 19, 4, 5, 7, 23, 3, 5, 8, 3, 5, 29, 3, 31, 2, 7, 10, 6, 3, 37, 11, 8, 4, 41, 4, 43, 7, 4, 13, 47, 3, 7, 4, 10, 8, 53, 3, 8, 5, 11, 16, 59, 3, 61, 17, 5, 2, 9, 5, 67, 10, 13, 5, 71, 3, 73, 20, 4, 11, 9, 6, 79 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS a(n) = n if and only if n is prime. LINKS Harvey P. Dale, Table of n, a(n) for n = 2..1000 Index to divisibility sequences FORMULA a(n) = round(A008472(n)/A001221(n)). EXAMPLE a(12) = 3, since the prime factors of 12 are 2 and 3, the average of 2 and 3 is 2.5, and the nearest integer to 2.5 is 3 (the larger number is chosen when the average is a half-integer). MATHEMATICA Table[Floor[Mean[FactorInteger[n][[All, 1]]]+1/2], {n, 2, 80}] (* Harvey P. Dale, Sep 23 2016 *) PROG (PARI) for(n=2, 79, o=omega(n); s=sum(i=1, o, factor(n)[, 1][i]); print1(round(s/o), ", ")); CROSSREFS Cf. A001221, A008472. Sequence in context: A067629 A079870 A364156 * A076690 A262549 A086287 Adjacent sequences: A185639 A185640 A185641 * A185643 A185644 A185645 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Sep 11 2013 STATUS approved

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

Last modified September 26 22:56 EDT 2023. Contains 365668 sequences. (Running on oeis4.)