2013 USAJMO Problems/Problem 4
Revision as of 18:52, 11 May 2013 by Yuler1818181818 (talk | contribs)
Let be the number of ways to write
as a sum of powers of
, where we keep track of the order of the summation. For example,
because
can be written as
,
,
,
,
, and
. Find the smallest
greater than
for which
is odd.