

A066296


a(n) = floor(n^(1/omega[n])), smallomegaroot of n.


2



2, 3, 4, 5, 2, 7, 8, 9, 3, 11, 3, 13, 3, 3, 16, 17, 4, 19, 4, 4, 4, 23, 4, 25, 5, 27, 5, 29, 3, 31, 32, 5, 5, 5, 6, 37, 6, 6, 6, 41, 3, 43, 6, 6, 6, 47, 6, 49, 7, 7, 7, 53, 7, 7, 7, 7, 7, 59, 3, 61, 7, 7, 64, 8, 4, 67, 8, 8, 4, 71, 8, 73, 8, 8, 8, 8, 4, 79, 8, 81, 9, 83, 4, 9, 9, 9, 9, 89, 4, 9, 9
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OFFSET

2,1


LINKS

Harry J. Smith, Table of n, a(n) for n=2..1000


FORMULA

a(n) = floor(n^(1/omega[n])) = floor(n^(1/A001221(n))).


EXAMPLE

a(n) = n if n is a power of prime.


MATHEMATICA

Table[Floor[n^(1/PrimeNu[n])], {n, 2, 50}] (* G. C. Greubel, May 08 2017 *)


PROG

(PARI) { for (n=2, 1000, a=floor(n^(1/omega(n))); write("b066296.txt", n, " ", a) ) } \\ Harry J. Smith, Feb 08 2010


CROSSREFS

Cf. A001221, A000040, A002808.
Sequence in context: A323130 A028233 A216972 * A162961 A145255 A053626
Adjacent sequences: A066293 A066294 A066295 * A066297 A066298 A066299


KEYWORD

nonn


AUTHOR

Labos Elemer, Dec 12 2001


STATUS

approved



