

A333974


Eventual periodic length of A007660 modulo n.


1



1, 3, 4, 3, 7, 12, 5, 3, 8, 21, 6, 12, 15, 15, 28, 3, 31, 24, 23, 21, 20, 6, 13, 12, 28, 15, 24, 15, 46, 84, 7, 3, 12, 93, 35, 24, 20, 69, 60, 21, 25, 60, 44, 6, 56, 39, 14, 12, 30, 84, 124, 15, 84, 24, 42, 15, 92, 138, 11, 84, 117, 21, 40, 3, 105, 12, 121, 93
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OFFSET

1,2


COMMENTS

Multiplicative: If n = p^x*q^y*... for distinct primes p,q,... then a(n) = a(p^x)*a(q^y)*...


LINKS

Table of n, a(n) for n=1..68.
David A. Corneth, PARI program


FORMULA

a(n)  a(k*n), k=2,3,...


EXAMPLE

a(1) is trivially 1.
For n=2 the sequence is 0, {0,1,1}, {0,1,1}, hence a(2) = 3.
For n=3 the sequence is 0, {0,1,1,2}, {0,1,1,2}, hence a(3) = 4.
For n=4 the sequence is 0,0,1,1, {2,3,3}, {2,3,3}, hence a(4) = 3.
For n=5 the sequence is 0, {0,1,1,2,3,2,2}, {0,1,1,2,3,2,2}, hence a(5) = 7.


PROG

(PARI) See Corneth link \\ David A. Corneth, Sep 04 2020


CROSSREFS

Sequence in context: A141730 A127737 A299416 * A163108 A350771 A077005
Adjacent sequences: A333971 A333972 A333973 * A333975 A333976 A333977


KEYWORD

nonn,mult


AUTHOR

Isaac Kaufmann, Sep 03 2020


EXTENSIONS

More terms from Jinyuan Wang, Sep 04 2020


STATUS

approved



