i) For every
ii) If
For example,
Correct answers as well as solutions will be acknowledged.
Monday, 15 July 2013
Problem of the Week [July 15, 2013]
A Skolem sequence of order 
is a sequence 
of 
integers satisfying the conditions:
i) For every
in 
, there exist exactly two elements 
and 
with 
.
ii) If with 
, then 
.
For example,
is a Skolem sequence of order 4. If is a non-negative integer, prove that there is no Skolem sequence of order if is of the form 
or 
.
Correct answers as well as solutions will be acknowledged.
i) For every
ii) If
For example,
Correct answers as well as solutions will be acknowledged.
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