OFFSET
0,2
COMMENTS
Numerators from the ordering of positive rational numbers by increasing balanced ternary representation of the "factorization" of positive rational numbers into terms of A186285 (prime powers with a power of three as exponent).
LINKS
Daniel Forgues, Table of n, a(n) for n = 0..9841
OEIS Wiki, Orderings of rational numbers
FORMULA
The balanced ternary representation of n
n = Sum(i=0..1+floor(log_3(2|n|)) n_i * 3^i, n_i in {-1,0,1},
is taken as the representation of the "factorization" of the positive rational number c(n)/d(n) into terms from A186285
EXAMPLE
The balanced ternary digits {-1,0,+1} are represented here as {2,0,1}.
0 0 Empty product = 1 = 1/1, a(n) = 1
1 1 2 = 2/1, a(n) = 2
2 12 3*(1/2) = 3/2, a(n) = 3
3 10 3 = 3/1, a(n) = 3
4 11 3*2 = 6 = 6/1, a(n) = 6
5 122 5*(1/3)*(1/2) = 5/6, a(n) = 5
6 120 5*(1/3) = 5/3, a(n) = 5
7 121 5*(1/3)*2 = 10/3, a(n) = 10
... ...
41 12222 8*(1/7)*(1/5)*(1/3)*(1/2) = 8/210 = 4/105, a(n) = 4
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Daniel Forgues, Feb 17 2011
STATUS
approved