

A014665


Number of new fractions m/n < 1, where (m,n)=1 and "new" means the value of mn has not occurred before.


5



1, 1, 2, 2, 4, 1, 6, 4, 6, 2, 10, 3, 12, 3, 5, 8, 16, 3, 18, 6, 7, 5, 22, 5, 20, 6, 18, 8, 28, 4, 30, 16, 12, 8, 18, 9, 36, 9, 14, 12, 40, 6, 42, 13, 17, 11, 46, 11, 42, 10, 19, 15, 52, 9, 25, 20, 21, 14, 58, 10, 60, 15, 28, 32, 29, 9, 66, 21, 26, 11, 70, 20, 72, 18, 23, 23, 42, 11, 78, 23, 54
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


REFERENCES

S. W. Golomb, personal communication, Svalbard, Norway, 7/97.


LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..10000 (terms 1..1000 from T. D. Noe)


EXAMPLE

{1}, {1/2}, {1/3,2/3}, {1/4,3/4}, {1/5,...,4/5}, {5/6}, ...


PROG

(PARI) a(n)=if(n==1, 1, sum(i=1, n1, gcd(i, n) == 1 && 0==sumdiv(i*n, d, my(t=i*n/d); gcd(t, d)==1 && d<n && t<d))) \\ Andrew Howroyd, Nov 16 2018


CROSSREFS

Cf. A027435, A236309.
Sequence in context: A072211 A299020 A070306 * A055035 A235138 A204595
Adjacent sequences: A014662 A014663 A014664 * A014666 A014667 A014668


KEYWORD

nonn


AUTHOR

N. J. A. Sloane


EXTENSIONS

Example corrected by and more terms from Olivier Gérard, February 1999


STATUS

approved



