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A076940
Define a mapping for a reduced rational number p/q by f(p/q) = 1 followed by p zeros followed by a 1 followed by q zeros.
1
1010, 10100, 101000, 1001000, 10100000, 100100000, 1000100000, 1010000000, 10010000000, 100010000000, 10000010000000, 10100000000, 1010000, 1000100000000, 100000100000000, 10000000100000000
OFFSET
1,1
COMMENTS
(p,q) = 1, p = A066657(n) and q = A066658(n).
This gives another proof that rational numbers are countable.
FORMULA
a(n) = 10^(p+q+1)+ 10^q where p = A066657(n) and q = A066658(n)
CROSSREFS
Sequence in context: A145808 A252683 A157010 * A173521 A266442 A266673
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Oct 19 2002
STATUS
approved