1993 USAMO Problems/Problem 4
Problem 4
Let ,
be odd positive integers. Define the sequence
by putting
,
, and by letting fn for
be the greatest odd divisor of
.
Show that
is constant for
sufficiently large and determine the eventual
value as a function of
and
.
Solution
Being typed up now ^v^- 07:32 PM EDT 4/22
Resources
1993 USAMO (Problems • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 | ||
All USAMO Problems and Solutions |