

A072209


Number of primitive roots of those integers with at least one primitive root.


2



1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 2, 8, 2, 6, 4, 10, 8, 4, 6, 12, 8, 8, 12, 6, 16, 12, 10, 22, 12, 8, 24, 6, 12, 28, 16, 8, 20, 24, 24, 12, 24, 18, 16, 40, 12, 40, 22, 32, 12, 40, 32, 24, 52, 36, 48, 28, 40, 16, 40, 36, 48, 20, 64, 44, 24, 24, 72, 40, 48, 24, 18, 54
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OFFSET

1,5


COMMENTS

Essentially sequence A046144 with all zero entries deleted.


LINKS

T. D. Noe, Table of n, a(n) for n=1..10000


FORMULA

a(n) = phi(phi(A033948(n))).


MATHEMATICA

Reap[ Do[ If[n == 1, Sow[1], If[ IntegerQ[ PrimitiveRoot[n]], Sow[ EulerPhi[ EulerPhi[n]]]]] , {n, 1, 100}]][[2, 1]] (* JeanFrançois Alcover, Feb 24 2012 *)


PROG

(PARI) is(n)=if(n%2, isprimepower(n)  n==1, n==2  n==4  (isprimepower(n/2, &n) && n>2));
lista(nn) = for (n=1, nn, if (is(n), print1(eulerphi(eulerphi(n)), ", "))); \\ Michel Marcus, May 12 2017


CROSSREFS

Cf. A033948, A046144.
Sequence in context: A208216 A208217 A009213 * A226559 A060169 A117958
Adjacent sequences: A072206 A072207 A072208 * A072210 A072211 A072212


KEYWORD

nice,nonn,changed


AUTHOR

Lekraj Beedassy, Jul 03 2002


STATUS

approved



