

A048984


As n runs through composite numbers, a(n) = number of nonprime d < n such that GCD(d,n) = 1.


1



1, 1, 1, 3, 2, 1, 2, 4, 3, 1, 2, 6, 4, 1, 12, 5, 10, 5, 1, 6, 11, 7, 15, 3, 8, 14, 6, 2, 8, 12, 10, 3, 28, 7, 19, 11, 4, 26, 10, 22, 14, 2, 14, 20, 15, 32, 5, 15, 27, 8, 6, 17, 21, 17, 41, 6, 12, 33, 20, 4, 43, 21, 35, 19, 3, 50, 22, 38, 24, 50, 10, 19, 37
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,4


COMMENTS

It appears that a(n) = A048864(A002808(n)).  Michel Marcus, Jul 14 2013


LINKS

Table of n, a(n) for n=1..73.


FORMULA

a(n) = A048983(n) + 1.  Michel Marcus, Jul 14 2013


EXAMPLE

9 is 4th composite number, GCD(9,1)=GCD(9,4)=GCD(9,8)=1, so a(4) = 3.


PROG

(PARI) ai(nn) = {forcomposite (n=1, nn, nb = 0; for(d=1, n1, if (! isprime(d) && gcd(n, d) == 1, nb++)); print1(nb, ", "); ); } \\ Michel Marcus, Jul 14 2013


CROSSREFS

Cf. A000010, A048983, A002808.
Sequence in context: A136560 A105847 A240485 * A230120 A136531 A127318
Adjacent sequences: A048981 A048982 A048983 * A048985 A048986 A048987


KEYWORD

easy,nonn


AUTHOR

Naohiro Nomoto


STATUS

approved



